Index of Authors Cited

The names appearing here are those of authors whose works referred to in this volume. References occur at the end of each problem (e.g. D11, pp.252-262); in the Introduction, I (pp. 1-2) and at the beginning of Sections A (pp. 3-7), D (p. 209), E (p. 311) and F (p. 365). Mentions unsupported by references are listed in the General Index.

Aaltonen, M., D9 van Albada, P. J., Dll Aassila, Mohammed, D22, D22 Alemu, Yismaw, D17 Abbott, Harvey L., B2, C9, C14, D3, Allenby, Reginald B. J. T., E3l El, ElO, Ell, E12, E28, F4 Alex, Leo J., DlO Abel, Ulrich, A17 Alexander, L. B., B2 Abouabdillah, Driss, B24 Alford, W. Red, A13 Acland-Hood, F4 Alfred, Brother D., D26 Acu, Ana-Maria, DlO AI-Kadhi, Mohammed, D23 Acu, Dumitru, Dl0 Alkan, Emre, B3l Acu, Mugur, DlO Alladi Krishnaswami, B3, B22 Adachi, Norio, DlO Alles, Peter, E38 Adams, William W., A, A12, A17 Allouche, Jean-Paul, E16, E2l, F17 Adena, Michael A., F4 Almansa, Jesus, A17 Adhikari, Sukumar Das, F4 Almering, J. H. J., D19, D2l Adleman, Leonard M., A Alon, Noga, C9, C14, C15, E9, ElO, Adongo, Harun P. K., D9 E12, F3 Agarwal, Pankaj K., E20 Alperin, Roger C., D2l Agoh, Takashi, A2, A3, A7, A17 Alter, Ronald, B37, D27 Ahlswede, Rudolf F., B26 Althoen, Stephen C., D3 Ahmadi, M. H., Dll Altwegg, M., D20 Ahrens, W., C18 Amdeberhan, Tewodros, F17 Aiello, Walter, C6 Amer, Mahmoud Abdel-Hamid, C9 Ajtai, Miklos, C9 Anderson, David Brent, F4 AI-Ali, Amal S., DlO Ando, Shiro, F13 Alanen, Jack, B4, B6 Andre-Jeannin, Richard, A12 Alaoglu, Leon, B2 Andrei, ~tefan, E16

405 406 Index of Authors Cited

Andrews, George E., C20, E30 Baragar, Arthur, D12 Anema, A. S., D21 Barajas, Alberto, Al Ang, D. D., D20 Baranov, Valery Ivanov, A17 Anglin, W. S., D3 Barbeau, Edward J., Dll, E31 Ankeny, Nesmith C., B16 Barbette, E., D3 Anne, Premchand, Dll Barja, J. M., D3 Ansari, A. R., A17 Barja Perez, Javier, D17 Anshel, Michael, Dll Barone, Enzo, E16 Antoniadis, Jannis A., D26 Barrodale, I., D3, D17 Applegate, David, E16 Barrucand, Pierre-A., F7 Archibald, Raymond Clare, A3 Bastien, L., D27 Arif, S. Akhtar, DlO Bateman, Paul T., A3, A17, B2, B16, Arnault, Franc;ois, A, A12, A13 B25, C20 Arno, Steven, A12 Battany, David M., D9 Arnold, Andre, E21 Battiato, Stefan, B4 Arnol/d, V. L, B45 Bauer, Claus, Cl, C20 Arshon, S., E21 Bauer, Friedrich L., A Artin, Emil, B16 Baumert, Leonard D., ClO, Ell Artuhov, M. M., B2, B4 Baumgartner, James E., E29 Atanassov, Krassimir T., B41, D3 Baxa, Christoph, A17 Atkin, A. Oliver L., A3, A8 Bayat, M., B31 Atkinson, M. D., C8 Bays, Carter, A4 Aull, C. E., B2 Bazzanella, Danilo, A8 Avanesov, E. T., D3 Beach, B. D., B16 Avidon, Michael R., B2 Bear, Robert, B2 Beardon, Alan F., E34 Baake, M., E21 Beatty, S., E27 Babcock, W. C., Cll Beauregard, Raymond A., D21 Bach, Eric, A4 Beck, Matthias, C7 Badea, C., E24 Beck, Walter E., B2, B5 Bae, Jaegug, C8 Bedocchi, E., A17 Bahig, Hatem M., C6 Beebee, John, F14 Bailey, David H., B31, F17 Beeckmans, Laurent, D3, Dll Baillie, Robert, A13, B21, B36 Beeger, N. G. W. H., A13 Baker, Alan, B19, D29 Beeler, Michael D., ElO Baker, I. N., C5 Behrend, F. A., EI0 Baker, K. A., E21 Beiler, Albert H., D21 Baker, Roger C., A8, A17, B16, B36, Bell, D. I., D20 Cl Belyi, G. V., D12 Baker, T., D15 Bencze, Mihaly, B12 Balakrishnan, V., B42 Benito, Manuel, B6 Balasubramanian, Ramachandran, Benkoski, S. J., B2 A13, D4, El, F4, F15 Bennett, Michael A., D2, D3, D9, DlO, Ball, W. W. Rouse, F4 D17, D23, D24 Ballew, David, B36 Bentkus, V., Fl Ballot, Christian, D12 Berend, Daniel, B22, B31, D25 Balog, Antal, A9, D5 Berg, Lothar, E16 Bang, Th!1lger, A17 Berge, Claude, C18 Index of Authors Cited 407

Bergelson, V., ElO Bourgain, Jean, C14, EIO, Fl8 Berger, Marc Aron, F13, Fl4 Boyarsky, A., D5 Bergeron, F., C6 Boyd, David W., D3, E15, El6 Bergum, Gerald E., Dl9 Bradley, David, Fl7 Berlekamp, Elwyn Ralph, C7, EIO, Brakemeier, W., Cl5 E26, E27 Brandenburg, F. J., E21 Berman, Paul, Cl8 Brandstein, Michael S., BI Bernstein, Daniel J., DI, El6 Bratley, P., B4 Bernstein, Leon, D8, Dll Brauer, Alfred T., A4, B28, C6, C7, F5, Berry, Thomas G., Dl9 F6 Berstel, Jean, C6, E21 Braun, J., Al7 Bertault, F., D4 Braunholtz, C. H., E21 Besicovitch, Abram Samoilovitch, D20, Bremner, Andrew, DI, D2, D3, D5, D7, E5 D8, D15, D18, D19, D23 Best, M. R, ClO, D7 Brenner, Joel L., DIO Betcher, Jennifer T., BI Brent, Richard P., A3, A8, BI Beukers, Frits, B19, D2, D9, DlO, F23 Brenton, Lawrence, Dll, D28 Beutelspacher, Albrecht, Ell Brestovansky, Walter, Ell Beyer, 0, C7 Breusch, Robert, B14, Dll Beyer, W. A., E31 Briggs, William E., C3 Bialostocki, Arie, Cl5 Brillhart, John David, A3 Bilu, Yuri F., D9, DlO, E9 Brindza, B., DI, D3, D9, DlO, D17, Bini, D., DI D25 Birch, Bryan J., DI, D27 Brlek, Srecko, E21 Bj(llrn, Anders, A3 Broberg, Niklas, Bl9 Blanco Ferro, L., D3 Brocard, H., D25 Blankenagel, Karsten, B7 Brocco, Stafano, El6 Blecksmith, Richard, A8 Bromhead, H., Dl8 Bleher, Pavel M., FI Bronstein, V., E25 Bleicher, M. N., Dll Brouwer, Andreas E., CIO Blundon, W. J., A6, D5, Dl8 Browkin, Jerzy, A12, B19, B36, E25 Bode, Dieter, B9 Brown, Alan L., B2 Boesch, F. T., ClO Brown, B. H., B4 Bohman, Jan, CI, C8, C20 Brown, Ezra "Bud", B2, Dl8 Bolker, Ethan D., C5 Brown, H., F27 Boman, Jan, C5 Brown, J. L., Dll Bombieri, Enrico, A8 Brown, Martin Lawrence, D24 Bonciocat, Nicolae Ciprian, Bll Brown, Thomas Craig, C7, ElO Borho, Walter, B4, B7 Browning, T. D., DI Borning, Alan, A2 Bruckman, Paul S., Al2 Bornsztein, Pierre, Ell Brudern, Jorg, A19, B16, C20, D4, D5 Borwein, David, A17, B48, Fl7 Brudno, Simcha, DI Borwein, Jonathan, A17, B48, Fl7 Bruen, Aiden, Cl8 Borwein, Peter B., B14, C8, DI Bruin, Nils, D2 Bose, R C., C9, Cll Brun, Viggo, A8 Boshernitzan, Michael, E27 Bruner, Robert R, Dll Bosma, Wieb, A3, B21 Brunner, R, Al9 Bosznay, A. P., Cl6 Brzezinski, Juliusz, Bl9 408 Index of Authors Cited

Bucher, W., E21 Catalan, E., B6 Buchholz, Ralph Heiner, D21, D22 Catlin, P. A., B41 Buck, R. Creighton, Al7 Cattaneo, Paolo, B2 Buell, Duncan A., A3, B21 Cauchy, Augustin-Louis, CI5 Bugeaud, Yann, D9, DlO, D29 Cayley, Arthur, E37 Bugulov, E. A., B2 Chahal, Jasbir S., D3 Buhler, Joseph P., A2, D2, Fl7 Chaladus, S., FI2 Bukor, Jozsef, B36 Challis, M. F., Cl2 Bumby, Richard T., D23 Chamberland, Marc, El6 Burbacka, E., B34 Chan Heng-Huat, C20 Burckel, S., El6 Chan Wah-Keung, D28 Burger, Edward B., DI2 Chan, Watne, Dl5 Burke, John R., C9 Chandra, Ashok K., ElO Burnside, William, DI8 Chang Mei-Chu, Fl8 Burr, Stefan A., D26 Chang, S. J., Dll Burshtein, Nechemia, Fl4 Chang Yan-Xun, F9 Buschman, Robert G., C3 Chapman, Robin, F5 Butske, William, B2 Chebyshev, Pafnuty Lvovich, A4 Button, J. 0., Dl2 Chein, E. Z., BI, Dl8 Chellali, M., D2 Cadwell, J. H., A8 Chen Jian-Hua, D6, D23 Cai Tian-Xin, B31, B36, Fl5 Chen Jing-Run, A4, CI, FI Cai Ying-Chun, A8, B16, CI Chen Ke-Ying, B31 Calderon, Catalina, Bl6 Chen Rong-Ji, A2 Caldwell, Chris K., A2, A3, B23 Chen, Sheng, C9, Cll Calkin, Neil J., B24, B26, C9, C14, Chen Shuwen, DI E12, E32 Chen Wen-De, Cll Callan, David, B2 Chen Wen-Jing, D2 Cameron, Peter J., B24, E32 Chen Xi-Geng, DID Campbell, Garikai, D21 Chen Xiao-Song, BI Campbell, Mariana, F9 Chen Yi-Ze, BI Campbell, Paul J., Dll Chen Yong-Gao, AI, A19, B22, C8, FI, Cao Fen-Jin, B42 Fl3 Cao Hui-Qin, Cl5 Cheng Lin-Feng, B2, FI Cao Yu-Shu, DI, DlO Cheng Yuanyou, Fred, FI, Fl5 Cao Zhen-Fu, B19, D3, D9, DIO, Dll, Chinburg, Ted, B25 D23, D28 Chisala, Busiso P., EI6 Carlip, Walter, AI2 Chleboun, Jan, A3 Carlitz, Leonard, B44 Choi, S. L. G., B26, C14, Ell, Fl3 Carmichael, Robert Daniel, A12, A13, Chou Chung-Chiang, D3 B2, B39, Dl5 Choubey, J., DI Cartwright, Donald I., B23 Choudhry, Ajai, DI, D4, D17, D23 Case, Janell, B36 Chowla, Sardomon D., A6, B16, C9, Cassaigne, Julien, C4, E21 D4, E28 Cassels, John William Scott, C20, D5, Chrzl}stowski-Wachtel, Piotr, C7 DlO, D12, D27, F, F22 Chua Kok-Seng, C20 Castella, Fran<.;ois, D4 Chung Graham, Fan Rong King, C9, de Castro Korgi, Rodrigo, AI7 C16, El4 Index of Authors Cited 409

Churchhouse, R. F., Fl3 Cremona, John E., D3, DlO Chvatal, Vaslav, ElO Crews, Philip L., B2 Cilleruelo, Javier, C9, EI, FI Creyaufmiiller, Wolfgang, B6 Cipolla, M., Al2 Crittenden, Richard B., E23 Cipu, Mihai, DlO, D23 Crochemore, Maxime, E21 Clark, Dean, El6 Crocker, R., Al9 Cobeli, Crist ian, F9 Croft, Hallard T., F4 Cochrane, Todd, B19, D9, Fl3 Croot, Ernest S., Dll Cockayne, Ernest T., Cl8 Cross, J. T., B2 Cohen, Eckford, B3 Cucurezeanu, Ion, D3, DlO Cohen, Fred, A19, Fl3 Cudakov, N. G., CI Cohen, Graeme L., BI, B2, B3, B4, Cummings, Larry J., E21 B37, B41, B42 Currie, James, E21 Cohen, Henri, A Curtis, Frank, C7 Cohen, M. J., Dl7 Curtiss, D. R., Dll Cohen, Robert, Dll Curtz, T. B., D27 Cohn, Harvey, D12, F7 Cusick, Thomas W., D12, F20 Cohn, John H. E., B16, D5, D6, DlO, Cutter, Pamela A., A8 D23, D26 Cole, George Raymond, D21 Dl}browski, Andrzej Bogdan, D25 Colman, W. J. A., Dl8 Dandapat, G. G., B9 Colquitt, W. N., A3 Danescu, Alexandru, F28 Comellas, Francese, F4 Dardis, J. A., DI Comtet, Louis, Fl7 Darmon, Henri, B19, D2, D9, Dl7 Conn, W., D5 Dartyge. Cecile, Al Conroy, Matthew M., A Davenport, Harold, A8, C15, D4, D29, Conway, John Horton, A12, A17, C7, E3, E20, F5, F22 C8, CIO, D18, E17, E26, E27, Davidson, J. L., El6 E31, F26 Davis, James A., ElO, E33 Cook, Roger, BI Davis, Simon, BI Cook, T. J., B3, Dl9 Davison, J. L., C7 Cooper, Curtis, A3, F32 Daykin, David E., D20 Coppersmith, Don, D2, E30, F24 Dean, Richard A., E21 Coquand, Thierry, ElO DeBoer, Jennifer L., B3 C6rdoba, Antonio, C9 Dejean, F., E21 Cori, R., E21 Dekking, F. M., E21, F31 Cormack, G. V., B21 De Koninck, Jean-Marie, B2, B13, B38 van der Corput, J. G., A6, CI DeIeglise, Marc, A, B2 Corzatt, C. E., F4 Delorme, Jean-Joel, DI Costello, Patrick, B4, B49 Dem'janenko, V. A., DI, D5 Coster, M. J., Fl7 Dence, Thomas, B36 Cottrell, A., C6 Denes, Tamas, A8 Coxeter, Harold Scott MacDonald, Deng Mou-Jie, DlO, D23 D18, F4 Deng Vue-Fan, D3 Craggs, D., F4 Deshouillers, Jean-Marc, CI, C15, D4 Cramer, Harald, A8 Deuber, Walter, ElO, El4 Crandall, Richard E., A, A2, A3, D2, Devitt, John Stanley, B6 E16, Fl7 Dewar, James, Fl4 410 Index of Authors Cited

Dias da Silva, J. A., C15 Ecker, Michael W., B36, D24 Diaz, Ricardo, C7 Eckert, Ernest J., D21 Dickson, Leonard Eugene, A, A17, B6, Ecklund, Earl F., B23, B33 D5, D12, D18, D27, E32 Edgar, Hugh Maxwell Wallace, D8, Dierker, Paul, C15 DlO Dilcher, Karl, A2, A3, A17, B25, D2 Edwards, Harold M., D2 Ding Xia-Xi, C1 Edwards, Johnny, B19 Di Porto. Adina, A12 Effinger, Gove, C1 Dirksen, P. H., E20 Eggleston, Harold Gordon, D21 Dixmier, Jacques, C7 Eggleton, Roger Benjamin, B23, C15, Dixon, R., C18 Dl9, E27 Djawadi, Mehdi, C12 Ehrman, John R., A3 Dobbs, David E., Dll Eijkhout, Victor L., E25 Dodge, Clayton W., D19 Ekl, Randy L., D1 Doenias, J., A3 Eliahou, Shalom, C15, E16 Dofs, Erik, DlO EI-Kassar, N., B36 Doig, Stephen K., B49 Elkies, Noam D., B19, C8, C20, D1, Dolan, Stanley W., D5 D2, D9 Domar, Y., D9 Elliott, D. D., A17 Dombi, Gergely, E21 Elliott, Peter D. T. A., A, A5 Dong Xiao-Lei, B19, DlO Ellis, David, A17 Dove, Kevin L., D22 Ellison, W. J., D5, F23 Dowd, Martin, C9 EI-Sedy, Esam, E34 Downarowicz, T., E21 Elser, Veit, E21 Downey, Peter J., E31 Elsholtz, Christian, A5, A8, Dll Drago, Antonino, F19 EI-Zahar, Mohamed H., C6 Drazin, David, B16 Engel, Marcus, D18 Dresel, L. A. G., A12 Entringer, Roger C., ElO, E21, E33 Dress, Fran<;ois, D4 Eppstein, David, D 11 Dressler, Robert E., B19, D9 Erdos, PaJ, , A5, A6, A8, A9, All, A12, Drmota, Michael, E21 A13, A17, A18, A19, B2, B4, Drost, John L., B50 B6, B8, B9, B10, B14, B16, Drucker, Daniel S., D28 B18, B21, B22, B23, B24, Dubitskas, A. K., F23 B26, B27, B30, B31, B32, Dubiner, M., C15 B33, B35, B36, B39, B40, Dubner, Harvey, A2, A3, A6, A7, A13 B41, B42, B46, B50, C3, C6, Dubouis, D1 C7, C8, C9, ClO, C12, C14, Dudeney, Henry Ernest, D3, E34, F4 C15, C16, C17, D2, D3, D4, Dudley, Underwood, A17 D7, Dll, D17, D25, E, E1, Dufner, Gunter, C1 E2, E3, E4, E5, E9, ElO, Dujella, Andrej, D29 Ell, E21, E24, E28, E31, Duke, William, B16, D3 E32, E32, F2, F4, F9, F13, Dumitriu, Anton, F9 F14, F18 Dumont, Jeffrey P., E16 Ernvall, Reijo, A17, D2 Dunn, Andrew, D24 Escott, E. B., A12, B4 Duparc, H. J. A., A13 Estermann, Theodore, C1 Dusart, Pierre, A, A9 Eswarathasan, A., B2, Dll Dyson, Freeman J., F1 Euler, Leonhard, B4 Index of Authors Cited 411

Evans, Ronald J., B28, ClO, Dl9 Franqui, Benito, B2 Evdokimov, A. A., E21 Fredricksen, Harold, Ell, El2 Everett, C. J., El6 Freiman, Gregory A., Cl5 Everts, F., ElO Frenkel, P. E., C8 Evertse, Jan-Hendrik, B30 Freud, Robert, C9, E30 Ewell, John A., BI, C5, C20, Fl7 Frey, Gerhard, DI Frey, H. A. M., B3 Fabrykowski, J., B18, F8, Fl3 Friedlander, John B., AI, A5, A8, A9, Falconer, Kenneth J., F4 A12, Dll, F9 Faltings, Gerd, D2 Friedman, Charles N., Dll Farkas, Hershel M., El6 Frobenius, G., Dl2 Fassler, Albert, D21 Froberg, Carl-Erik, CI, C20 Fast, H., Fuchs, Clemens, D26 Fatkina, S. Yu., CI Fuchs, W. H. J., C9 Faulkner, Marilyn, B33 Funar, Louis, Cl4 Fein, Burton, E38 Fung, Gilbert W., Al Feix, M. R., El6 Furedi, Zoltan, E20 Fejes Toth, Laszlo, F Furstenberg, H., C9, ElO Felzenbaum, Alexander Gersh, F13, Fl4 Gabovic, Ja., Dl7 Feng Ke-Qin, D27 Gale, David, E15, El7 Feuerverger, Andrey, A4 Gallagher, Patrick X., Al9 Fife, Earl Dennet, E21 Gallardo, Luis, Cl5 Filaseta, Michael, B19, B21, Fl3 Gallian, Joseph A., Cl3 Filakovsky, Peter, DlO, D17, D23 Gallot, Yves, A2, A3 Filipponi, P., El6 Gamble, B., Cl8 Filz, Antonio, CI Gandhi, B. Krishna, D26 Finch, Steven R., C4, C14, E32 Gandhi, J. M., Al7 Fine, Nathan J., D19, E21, E25 Gangadharan, K. S., FI Finkelstein, Raphael, D3, D26 Gao Guo-Gang, El6 Flammenkamp, Achim, B7, F4 Gao Wei-Dong, C15, F9 Flatto, Leopold, El8 Garaev, M. Z., D24 Flechsenhaar, A., DlO Garcia, Mariano, B2, B4 Fletcher, Peter, A3, A20, F5 Gardiner, Tony, E34 Flood, P. W., Dl8 Gardiner, Verna L., C3, D5 Flores, Carlos, Cl5 Gardner, Martin, AI, A2, C8, D3, D18, Folsom, Amanda, Dl2 D21, E34, F4 Forbes, Anthony D., A6, A8, A9, B5, Gardy, D., E20 Bl8 Gar-el, Rachel, DI Ford, Kevin, A4, B39, B42, Fl3 Garner, Lynn E., El6 Forman, William, El9 Garrison, Betty, Al7 Forman, Robin, Al7 Garunkstis, R., A9 Formisano, M. R., E21 Gau Li, Fl2 Foster, Lorraine L., B39, DlO, Dl6 Gawlik, James, Al7 Fouvry, Etienne, AI, A8, C15, C20 Gazeau, Jean-Pierre, E21 Fraenkel, Aviezri S., C5, D8, E21, E25, Gebel, Josef, DI E27, F13, Fl4 Gelfond, A. 0., DI Franco, Zachary, El6 Genocchi, A., D27 412 Index of Authors Cited

Gerardin, Ao, DI, D27 Gowers, Wo To, ElO Gerlach, Horst Wo, Al2 Graham, Ronald Lewis, , A3, B23, B33, Geroldinger, Alfred, Cl5 C7, C9, C9, ClO, C21, Dll, Gerver, Joseph Lo, A5, ElO E2, ElO, ElO, E25, E27, E30, Gessel, Ira Mo, B31, C7, Fl7 E31, E33, Fl4 Gethner, Ellen, Al6 Graham, Sidney Wo, A4, A17, B3, B22, Gibbs, Po, D29 B36, C9, Cll Gibbs, Richard Ao, ClO Grantham, Jon, Al3 Giese, R. Po, C6 Granville, Andrew, A, A4, A9, A13, Gill, Co, DI5 A17, B19, B24, B26, B31, Gillard, Po, B36 B41, CI, CI, C20, D2, D9, Gillies, Donald B., A3 E9, E32, FI Gilman, Ao Fo, DlO Greaves, George R. Ho, DI Gilmer, Robert, Bl6 Green, Ben Joseph, A5, C9, C9 Ginzburg, Ao, Cl5 Greenberg, Harold, C7 Gioia, Ao Ao, B4, C6 Greenwell, Raymond No, ElO Girgensohn, Roland, A17, Fl7 Greenwood, Marshall Lo, Al7 Giuga, Giuseppe, Al7 Grekos, George, C9, C12, Cl5 Glaisher, Jo Wo Lo, A8 Grelak, Ao, D2 Glasner, E., ElO Gretton, Stephen Fo, B4 Glass, Ao Mo Wo, DI Grimm, Charles Ao, B32 Gloden, Ao, DI Grinstead, Charles Mo, B22, D3 Gluck, David, El6 Griswold, Ralph E., E31 Godwin, Herbert James, A2, D27 Grossman, George, D26 Goetgheluck, Po, A17, D3 Grosswald, Emil, A5, B16, C20 Gogic, Goran, B44 Grundman, Helen Go, E34 Goins, Edray Herber, D21 Grupp, Fo, A8 Golay, Marcel Jo Eo, ClO Grynkiewicz, David Jo, Cl5 Goldfeld, Dorian, Dll Grytczuk, Aleksander, A3, BI, B31, Goldstein, Richard, F4 B37, B42, D2, D3 Goldwasser, John Lo, C16, El4 Gryte, Do Go, D26 Goldston, Daniel Lo, A8, CI Guiasu, Silvio, Al7 Golomb, Solomon Wo, A2, A17, B42, Guillaume, Do, Al3 C18, Dll, E24, E25 Giintsche, R., D22 Golubev, Vo Ao, A5 Guo Yong-Dong, DlO Good, Irving John, E24 Guo Zhi-Tang, DlO Goodstein, Reuben Louis, Al7 Gupta, Rajiv, F9 Gordon, Basil, C5, E38 Gupta, Hansraj, B33, C8, D25 Gordon, Daniel Mo, Al2 Gurak, So, Al2 Gorzkowski, Waldemar, D4 Guo Yong-Dong, DlO Gosper, R. William, E16, Fl7 Gupta, Shyam Sunder, B33, C8, D25 Gostin, Gary Bo, A3 Gutierrez, So, B36 Goto, To, B2 Guy, Andrew William Peter, B6 Gottschalk, Wo Ho, E21 Guy, Michael John Thirian, F26 G6tze, Friedrich, FI Guy, Richard Kenneth, A3, A12, A17, Gould, Henry Wo, A17, B33 B6, B8, B13, B42, CI, C7, Gouda, So, C9 C8, DI, D3, D19, E26, E27, Gouyou-Beauchamps, Do, E20 E37, F2, F4, F4, F26, F32 Index of Authors Cited 413

Gyarmati, Katalin, DI5 Hatada, Kazuyuki, A3 Gyory, Kalman, D3, D7, D9, DIO, DI7 Haugland, Jan Kristian, A8, A16, Cl7 Haukkanen, Pentti, B13, B42 Haas, Robert, A Hausman, Miriam, B2, B41 Habsieger, Laurent, C9, C15 Hausner, A., DIO Hadano, Toshihiro, DlO Haussler, D., E21 Haddad, L., C9 Hawkins, David, C3, E21 Haentzschel, E., D22 Hayashi, Elmer K., C9 Hafner, James Lee, FI Heap, B. R., C7 Hagedorn, Thomas R., D 11 Heath-Brown, D. Roger, AI, A4, A5, Hagis, Peter, A5, BI, B2, B3, B4, B5, A8, A9, B16, B18, CI, C20, B8, B37, B39 D5, D27, F9 Hahn, H. S., Dll Hebb, Kevin, C6 Hahn Liang-Shin, Dll Heden, Olof, CI8 Hahn Sang-Geun, B31 Hedetniemi, Stephen T., CI8 Haight, J., Fl3 Hedlund, Gustav A., E21 Hajdu, Lajos, B30, D3, DlO, Dl7 Hedy, Guediri, Al6 Hajela, D., Cll Hegyvari, N., Cl5 Hajnal, Peter, E20 Heilbronn, Hans, Cl5 Hajas, G., ElO Helou, C., C9 Halbeisen, Lorenz, El6 Helm, Martin, C9, Cll Halberstam, Heini, , A5, C9, E Hendricks, John R., DI5 Hales, Alfred W., EIO Hendy, M. D., B2 Halewyn, C. van, A3 Hennecart, Fran<;ois, C15, C15, D4 Hall, Marshall, ClO, DI, E25 Henriksen, Melvin, B25 Hall, Richard R., B36, B40, B41, E3, Hensley, Douglas, A9 F4 Heppner, E., EI6 Halter-Koch, Franz, C20 Hering, Christoph, DlO Hamidoune, Yahya Ould, C8, Cl5 Herschfeld, Aaron, DI Hammer, Joseph, F Herstein, I. N., EI6 Hammerer, N., Cl2 Herzberg, Norman P., DI2 HanCl, Jaroslav, E24 Hetzel, Andrew J., D 11 Hanrot, Guillaume, DIO Heuer, Karl W., F4 Hansche, B., CI8 Heyde, C. C., C3 Hansen, W., C6 Hiata-Kohno, Noriko, DI0 Hanson, Denis, D3, ElO, Ell Higgins, Olga, AI7 Harborth, Heiko, B28, C15, D3, D20, Higgins, Robert N., B36 F4 Higham, Jeff, E31 Hardin, R. H., DI Hilano, Teluhiko, FI3 Hardy, B. E., B2 Hildebrand, Adolf J., A9, BI8, C20, F6 Hardy, G. E., A2 Hill, Jay Roderick, AI3, Dll Hardy, Godfrey Harold, AI, AI7, D4 Hilton, Peter J., F28 Harman, Glyn, A8, A8, AI7, CI Hindman, Neil, E29 Harmse, J¢rgen E., B31 Hirschhorn, Michael David, C20, DI, Harris, Vincent C., AI7 D3 Hart, S., E20 Hoffmann, H., B4, B4 Hartter, E., Al7 Hofmeister, Gerd, C12, CI2, Dll Hashimoto, Ryuta, Bl6 Hofstadter, Douglas R., E3I 414 Index of Authors Cited

Hoggatt, Verner E., D26 Iwaniek, Henryk, AI, AI, A5, A8, A9, Holden, Joshua Brandon, F9 B16, B39, FI Holdener, Judy A., BI Izhboldin, O. T., Dll Holt, Jeffrey J., B36 Izotov, Anatoly S., B21 Holton, Derek A., F4 Holzman, R, Fl4 Jabotinsky, Eri, C3 Honaker, G. L., A3 Jackson, D. E., E21 Hong Shao-Fang, B31 Jackson, T. H., B4, F4 Honsberger, Ross A., C5 Jacobson, Eliot, Al2 Hooley, Christopher, A19, B39, B40, Jacobson, Michael J., AI, D7, DlO, CI, D5, F9 D29 Horn, Roger A., Al7 Jaeschke, Gerhard, A12, A13, B21 Hornfeck, B., B2 Jagy, William C., D1 Horvath, Gabor, C9 Jaje, Lynda M., B2 Hou Qing-Hu, Cl5 Jarai, Antal, A8 Hu Zhi-Xing, Fl2 Jaroma, John H., BI Hu Zhong, F13, Fl4 Jenkins, Paul M., BI Huard, James G., Bll, C20 Jerrard, R P., B2 Hudson, Richard H., A4, F5 Jewett, R I., ElO Hudson, W. H., Dl9 Jia Chao-Hua, A8, A17, B16, CI Huen Y.-K, A8 Jia Xing-De, C9, Cll, C12, E28, Fl8 Huenemann, Joel, Al3 Jimenez Calvo, I., DI Huff, G. B., C18, D20 Jimenez-Urroz, Jorge, C9 Jin Yuanl , Dl7 Hujter, Mihaly, C7 Johnson, Allan William, Dll Hummel, Patrick, F5 Johnson, G. D., A3 Hungerbiihler, Norbert, El6 Johnson, S. M., C7 Hunsucker, John L., B9, Bl3 Johnson, Wells, B2, D2 Hurwitz, Adolf, Dl2 Joint, W. Howard, DI8 Hurwitz, S., DlO Jokusch, William, E21 Huxley, Martin N., A8, B16, FI Jollensten, Ralph W., Dll Jones, James P., A6, Al7 Iannucci, Douglas E., BI, B41 Jones, John William, D23 Ibrahim, Abd EI-Hamid M., BI Jones, Patricia, B36 Ibstedt, Henry, El5 Jonsson, Ingemar, B20 Il'in, A. M., C6 Jo6, I., A12, A13, Dll Indlekofer, Karl-Heinz, A8 Jordan, James H., A16, D20, D21, Fl3 Ingham, A. E., FI Judd, J. S., A Inglis, Nicholas F. J., E38 Justin, Jacques, E21 Inkeri, K, D2, D9, DI, DlO Jutila, Matti, A4, Al7 Irving, R W., Ell Iseki, Kiyoshi, D7 Kac, Mark, B14, E31 Isenkrahe, C., Al7 Kaczorowski, Jerzy, CI Iskra, Boris, D27 Kahan, Steven, A17, E25 Ito, Hideji, Al2 Kalbfleisch, J. G., ClO Ivanov, M. A., DI Kalyamanova, K E., D22 Ivic, Aleksandar, B2, B16, B44, FI Kan, I. D., C7 Ivorra, Wilfrid, D2 Kan Jia-Hai, B18, CI Index of Authors Cited 415

Kang Ji-Ding, D7 Klamkin, Murray S., B2 Kaneko, Masanobu, D3 Klarner, David A., C18, E36 Kang Qing-De, F9 Klazar, Martin, E20 Kaniecki, Leszek, CI Klee, Victor L., , B39 Kannan, Ravi, C7 Klein, Rivka, Fl5 Kanold, Hans-Joachim, B2, B4, B9 Kleitman, Daniel J., C14, El2 Kaplansky, Irving, C20, DI, DI, El6 Klotz, Walter, Cl2 Karhumaki, Juhani, E21 Kli/we, Torliev, Cll, C18, F4 Karmakar, Sushil Kumar, Al7 Knapowski, Stanislaw, A4 Karst, Edgar, A5, Al7 Knauer, Joshua, A3, B25 Kashihara, Kenji, D23 Knodel, W., Al3 Katai, Imre, , B2, FI Knopfmacher, John, Al7 Katayama, Shin-ichi, Dll, D23 Knuth, Donald Ervin, A3, C6 Kato, H., C6 Ko, Chao, D5, Dll, Dl3 Katz, M., Cl7 Kobayashi, Masaki, Al7 Kawada, Koichi, A19, D4, D5 Kobayashi, Y., E21 Kay, David C., El6 Koh Young-Mee, Dl7 Kayal, Neeraj, A Kohnen, Winfried, B44 Keller, Ott-Heinrich, F Kolesnik, Grigori A., AI, B31 Keller, Wilfrid, A, A3, A13, B20, B21 Kolsdorf, H., Cl2 Kellerer, H., Fl4 Komatsu, Takao, C7 Kellner, Bernd Christian, D7 Komjath, Peter, E20 Kellogg, O. D., Dll Koml6s, Janos, C9, Ell, F4 Kelly, John B., DI, Fl9 Konyagin, SergeI V., A4, B19, B42, Kelly, Patrick A., F4 ClO, F13, Fl8 Kemnitz, Arnfried, C15, D19, D20 Korselt, A., Al3 Kemp, Paula A., Fl5 Kotsireas, !lias, Dll Kemperman, J. H. B., Cl5 Kowol, G., Al2 Kendall, David G., B2 Koyama, Kenyi, D5 Kennedy, Robert E., F32 Kraitchik, Maurice, A3, C18, D18, D25 Kenney, Margaret J., CI Krasikov, I., El6 Keranen, Veikko, E21 Kratzel, Ekkehard, B16, FI Kervaire, Michel, Cl5 Kraus, Alain, B19, D2, D4, DI, DlO Kfoury, A. J., E21 Krausz, T., D3 Khachatrian, L. G., B26 Kravitz, Sidney, A2, A3, B2 Khalfalah, A., E6 Kffzek, Michal, A3 Khinchin, A. Y., EIO Kruckeberg, F., C9 KiheI, Omar, D23 Krukenberg, C. E., Fl3 Kikuchi, Yoko, Dll Kubicek, Jan, DI Killgrove, Raymond B., AlO Kubo, Tal, E31 Killingbergtr(ll, Hans Georg, D21 Kudlek, Manfred, El6 Kim Su-Hee, Al2 Kuhleitner, Manfred, FI Kingsley, R. A., D26 Kuipers, Lauwerens, Al7 Kirfel, Christoph, A3, C12, Cl2 Kumchev, A., A5 Kirschenhofer, P., DlO Kun, Gabor, Al Kishore, Masao, BI, B2, B37 Kupka, Joseph, B23 Kisilevsky, Hershey H., D3 Kurepa, Duro, B44 Kiss, Peter, A12, C7, E31 Kurlyandchik, L. D., Dll 416 Index of Authors Cited

Kurokawa, Nobishige, Fl7 Lenstra, Hendrik Willem, A, A3, B6, Kurths, Jiirgen, E21 B16, F9 Kuttler, James R., El6 Leu Ming-Guang, DlO Kuwata, Masato, D3 Lev, Vsevolod F., C7, C9, C14, C15, El2 Laatsch, Richard, B2 Leveque, William Judson, DI LaBar, Martin, Dl5 Levin, Leonard, Fl7 Laborde, M., A8 Levine, Eugene, B2, Dll, E28 Levine, N., D3 Lacampagne, Carole, B31, D3 Lewin, Mordechai, C7 Lagarias, Jeffrey C., A, A8, A17, D12, Lewis, Ethan, F13, Fl4 D26, E8, E16, E30 Lewis, James T., El6 Lagrange, Jean, D4, D15, D18, D20, Lewis, Kathy, B49 D27 Li An-Ping, Cll Lal, Mohan, A6, B5, B8, B36, D5, Dl8 Li De-Lang, Dll Lalout, Claude, A 7 Li Fu-Zhong, DIO Lambek, Joachim, C5, E27 Li Guan-Wei, DlO Lander, Leon J., DI Li Hong-Ze, A8, A19, CI, D4 Landman, Bruce M., ElO, ElO Li Shu-Guang, F9 Landreau, Bernard, C15, D4 Li Xiao-Ming, ClO Lang, Serge, Bl9 Li Yuan, DI Langevin, Michel, B19, B30, B32, DI Li Zheng-Xue, Cl5 Langmann, Klaus, A17, DlO Li Zhong, Bl9 Larcher, Gerhard, B31 Lidl, Rudolf, Al2 Laub, Moshe, D3 Liebman, A., ElO Laurincikas, Antanas, B36 Lieuwens, E., B37 Lazarus, R. B., C3, D5 Lin Chio-Shih, E27, Fl4 Le Mao-Hua, A2, A19, B2, B19, B38, Lin Da-Zheng, B42 D2, D3, DI, DlO, DlO, D23, Lin Jia-Fu, C20 D25, F9 Lin Ki-Pao, F Lebensold, Kenneth, B24 Lin Shen, C21, E27, Fl4 Lebesgue, V. A., F5 Lind, D. A., D3 Lebowitz, Joel L., FI Lindgren, William, A3, A20, F5 Leconte, Michel, E21 Lindstrom, Bernt, C8, C9, Cll Lee, Elvin J., B4, B31 Linnik, U. V., A4, A5 Leech, John, A4, A9, ClO, DI, D18, van Lint, Jacobus Henricus, Dll D18, D20, E21 Linusson, Svante, C5 Legendre, Adrien-Marie, Al7 Lioen, Walter M., A3, D5 Lehmer, Derrick Henry, A3, A7, A12, Lisonek, Petr, D I A13, A17, B6, B29, B37, FI, Littlewood, John Edensor, AI, A4, D4, F6, F31 F22 Lehmer, Derrick Norman, D20 Liu, A. C., ElO Lehmer, Emma, B24, B45, D2, F6 Liu, B., C5, Cl3 Lehning, Herve, E25 Liu De-Hua, D25 Leitmann, D., Al Liu Hong-Quan, AI, A8, A17, Bl6 Lekkerkerker, Cornelius Gerrit, F Liu Hui-Qin, Cl5 Lemmermeyer, Franz, D27 Liu Jian-Min, A4 Lenstra, Arjen K., A, A3 Liu Jian-Xin, Cl5 Index of Authors Cited 417

Liu Jian-Ya, CI, C20 D5,DIO Liu Ming-Chit, CI, CI, C20 Mallows, Colin L., E31 Liu Rui, Dll Malm, Donald E. G., A19 Liu Yu-Ji, C7 Malo, E., Al2 Liverance, Eric, Al7 Malouf, Janice, B30, El5 Ljunggren, W., D3, D6, DlO, D23 Maltby, Roy, C8 Llad6, A. S., Cl5 Manasse, Mark S., A, A3 Lodha, Sachin, E6 Mann, Henry B., A17, CIO, Cl5 L6h, Gunter, A7, Al3 Mansfield, Richard, Cl5 Loly, Peter, Dl5 Marcus, Daniel, E25 London, Hymie, D26 Marko, Frantisek, Al3 Lord, Graham, B2, B5, B9 Markoff, A., Dl2 Lorentz, Richard J., E21 Marszalek, R., Dl7 Lossers, O. P., D3 Martin, Gregory G., A4, A4, B36, C9, Lotspeich, M., Cl5 DII, F9 Lou Shi-Tuo, A8 Martini, Frank, Dl2 Low, Lewis, C15, F27 Masai, Pierre, B39 Loxton, John H., F31 Mason, T. E., B2 Lu Ming-Gao, A8, CI Masser, D. W., Bl9 Luca, Florian, A3, B22, B36, B42, DI, Massias, J.-P., Al7 DIO, D22, D23, D25, D26, Mathieu, DI D26 Matiyasevich, Yuri V., Al7 Lucas, Edouard, D3 Matthews, K. R., A13, El6 Luczak, Tomasz, C14, El2 Mattics, L. E., C20, D3 Lukes, Richard F., A, B31 Mauduit, Christian, E21 van de Lune, J., CI, D7, FI Mauldin, R. Daniel, B19, D2 Lunnon, W. Fred, B4, C8, C12, E21 Mauldon, James G., D16, Dl9 Luo Ming, B2, D26 Mayer, Ernst W., A3 Lygeros, N., A6 Mayernik, Daniel R., B2 Lyness, Robert Cranston, Dl8 McDaniel, Wayne L., A12, B2, B16, Lynn, M. S., C7 B49, D26, E24 McIntosh, Richard John, B31 Ma De-Gang, D3 McKay, John H., B4 Mabkhout, Mustapha, B46, DIO McKay, Michael D., E25 MacDougall. J. A., D21 McKee, James K., A Macdonald, Shiela Oates, E20 McLaughlin, Philip B., A3 Mackenzie, Dana, Dll McNulty, G. F., E21 MacLeod, R. A., D3, Dl7 Meeus, Jean, A 7 MacMahon, Percy A., E30 Meinardus, Gunter, El6 MacWilliams, F. Jessie, ClO, E38 Melfi, Guiseppe, B2 Madachy, Joseph S., B4, E34 Mendelsohn, Nathan S., B21 "Mahatma", Dl8 Mendes France, Michel, F31 Mahler, Kurt, D4, E18, F26, F27, F31 Meng Xian-Meng, D4 Maier, Helmut, A8, A9, B9, B36, B41, Menzer, H., Bl6 E3 Merel, LoIc, B19, D2, Dl7 Main, Michael G., E21 Meronk, D. B., DI Ml}kowski, Andrzej, A12, A15, B2, B5, Metropolis, N., C3 B9, B16, B19, B25, B36, B42, Metsiinkylii, T., D2 418 Index of Authors Cited

Meyrignac, Jean-Charles, DI Mordell, Louis Joel, B16, D3, D5, D6, Mian, Abdul Majid, E28 D18, D20, D27 Miech, R. J., B37 Moree, Pieter, A3, A4, C14, D7, E38, Mi~kisz, Jacek, E21 F9 Mientka, Walter E., A19, B13, E21 Morikawa, Ryozo, Fl4 Mignosi, Filippo, E16, E21 Moroz, B. Z., AI, Bl6 Mignotte, Maurice, AI, D2, D3, DI, Morse, Marston, E21 DIO, D23, F23 Morton, Patrick, D2 Mihiiilescu, Preda, D I Moser, Leo, A17, B33, C2, C5, C12, Mijajlovic, Zarko, B44 C17, D7, EI, ElO, Ell, E27 Mikawa, Hiroshi, A8, CI Mossige, Svein, C12, E32 Miksa, F. L., D21 Mossinghoff, Michael J., C8 Miller, G. L., A Mott, Joe L., Al7 Miller, Jeffrey Charles Percy, A3, ClO, Motzkin, Theodor S., Cl7 D5 Moujie, Deng, B2, B41 Miller, Kathryn, B36 Mozzochi, C. J., A8, FI Miller, V. S., A, Al7 Mrose, Arnulf, Cl2 Mills, G., ElO Mu Shan-Zhi, D23 Mills, William H., A17, B2, B41, D13, Muir, Thomas, E37 E20, F6 Mullen, Gary L., F9 Milne, Stephen C., C20 Miiller, Helmut A., El6 Muller, P. N., C4 Mimuro, Timoaki, El6 Miiller, Siguna M. S., A, A12, Al3 Ming, Luo, D3 Miiller, Winfried B., Al2 Minoli, Daniel, B2 Miiller, Wolfgang, Fl Mirsky, Leon, B18, Ell Mullin, Ronald C., ClO, E20 Misiurewicz, M., D24 Mulvey, Irene, ElO Mitas, Giinter, DlO Murata, Leo, F9 Mittelbach, F., Dll Murdeshwar, M. G., Cl7 Mizony, M., A6 Muriefah, Fadwa S. Abu, D2, DlO Mo De-Ze, DlO Murty, Maruti Ram, A3, D2, F9 Moews, David, B7 Myerson, Gerry, Fl3 Moews, Paul C., B7 Mohanty, Shreedhara Prasada, D3 Nagaraj, S. V., Al3 Mohit, Satya, A3, D2 Nagell, Trygve, DI, DlO, Dll Molinelli, J. M., D3, Dl7 Nair, M., Bl8 Moller, Herbert, El6 Najar, Rudolph M., B2, B5, B8 Mollin, Richard A., A17, Bl6 N akamula, Ken, C6 Molnar, E. A., F28 Nakamura, Shigeru, B2 Monks, Kenneth G., El6 Namboodiripad, K. S., Al7 Monsky, Paul, D27 Narkiewicz, Wladyslaw, A19, CI Montgomery, Hugh L., A9, B18, B40, Nash, John C. M., B2, Cll, Cl2 CI, C20 Nathanson, Melvyn B., A8, C8, C9, C9, Montgomery, Peter Lawrence, A, A3, C12, C12, C15, C15, E9, Fl8 A3 Naur, Thorkil, A3 Moore, Eliakim Hastings, Dl8 Nebb, Jack, Bl3 Morain, F., Al2 Negro, A., C8 Moran, Andrew, A5 Neill, T. B. M., Al7 Index of Authors Cited 419

Nelson, Co, B50 Osgood, Charles Fo, D25 Nelson, Harry Lo, A6 Ossowski, J 0' C5 Nemenzo, Fidel Ronquillo, D27 Ostergard, Patrie R Jo, CI8 Nesterenko, Yuri Vo, B30 Ostmann, Ho, E Newberry, Ro So, B3 O'Sullivan, Joseph, E28 Newman, David, E3I Oswald, Alan, AI2 Newman, Donald Jo, B36, C6, Dll Ou, Zhiming Mo, Bll Newman, Morris, FI4 Overhagen, To, D25, FI Nicely, Thomas Ro, A8 Owens, Frank Wo, C4 Nicol, Charles Ao, B41, D2 Owens, Robert Wo, CI2 Nicolas, Jean-Louis, DI5 Owings, Jo Co, Dll Niculescu, Radu ~tefan, EI6 Niebuhr, Wolfgang, AI3 Pajunen, Seppo, B2 Nielsen, Pace Po, BI Palama, Go, Dll Nijenhuis, Albert, C7 Pall, Gordon, C20 Nitaj, Abderrahmane, B16, BI9 Pan Cheng-Dong, CI Niu Xue-Feng, C7 Pan Cheng-Tung, A4 Niven, Ivan, A17, B41, Dll Pan Hao, CI5 Noda, Kazunari, D27 Pan Jia-Yu, DlO Noll, Landon Curt, D20 Panaitopol, Laurentiu, A9, All, A17, Norrie, Co, A3 B16, B36 Norrie, R, DI Pansiot, Jo-Jo, E2I Novak, Bfetislav, FI4 Papadimitriou, Makis, AI7 Nowakowski, Richard Joseph, E37, FI Papadopoulos, Jason, A3 Nudelman, Scott Po, CI8 Pappalardi, Francesco, Dll, F9 Nyman, Bertil, A8 Parady, Bodo K, A8 Parihar, Manjit, A3 Oblath, Richard, D2, Dll, D17, D25 Parkin, To R, A6, DI O'Bryant, Kevin, C9 Passow, Eli, D25 Odda, Tom, E33 Paszkiewicz, Andrzej, F9 Odlyzko, Andrew Mo, A, AlO, A17, Patterson, Cameron Douglas, A, C2I B21, CIO,E8, EIO,E38,F4 Patterson, Go So, DI2 Odoni, R Wo K, BI6 Paxson, Go Aaron, B6 Oertel, Philipp, F4 Peck, Ao So, A8 Oesterle, Jo, BI9 Peck, Co B. Ao, E25 Okada, To, DI Peeples, Wo Do, D20 Oliviera e Silva, Tomas, EI6 Pekker, Alexander, DI2 Oltikar, Sham, B49 Pelikan, Jozsef, E38 Olsen, John Eo, CI5 Penk, Mo Ao, A2 Omellyanov, K Go, C9 Penney, David Eo, A2, B50 Ondrejka, Rudolf, A3 Peralta, Rene, F6 O'Neil, Patrick Eo, C5, ElO Percival, Colin, DI Ono, Kenneth, D3 Perelli, Alberto, A19, CI Oppenheim, Alexander, D8 Perrin, R, AI2 Ordaz, Oscar, C15, CI5 Perrine, Serge, DI2 Ore, Oystein, A17, B2, B4 Pete, Gabor, Al Ortega Costa, Joaquin, AI7 Peterkin, Co R, E20 Ortuiio, Asdrubal, CI5 Peterman, Yo-Fo So, E25 420 Index of Authors Cited

Peterson, Blake E., D20, D21 Pounder, J. R., Cl2 Peterson, Ivars, B49 Powell, Barry J., B45 Petho, Attila, DI, DlO, D26 Prachar, K., A4 Petojevic, Alexandar, B44 Prasad, A. V. M., Bl6 Peyriere, J., E21 Prellberg, Thomas, F4 Phillips, Steven, E30 Prieto, Leonardo, Al7 Phong Bui-Ming, A12, Al3 Pritchard, Paul A., A5 Pi Xin-Ming, A3 Prodinger, Helmut, E21 Picon, P. A., B33 Propp, James Gary, ElO, ElO Piekarczyk, J., B34 Prosper, V., F32 Pihko, Jukka, C9, Cll, C15, Dll Proth, F., AlO Pikovskil, A. S., E21 Prothro, E. T., D21 Pillai, Subbayya Pillai Sivasankara- Prouhet, E., E21 narayana, B28, DI, DlO Puchta, Jan-Christoph, B36, CI Pil'tjai, G. Z., A8 Purdy, George B., C20 Pinch, Richard G. E., A12, Al3 Pyateckii-Sapiro, I. I., Al Pinn, Klaus, E31 Pinner, C., Bl8 Qiu Wei-Xing, El6 Pinter, Akos, B30, DI, D3, D3, D7, Queneau, Raymond, C4 DlO,DlO Pintz, Janos, A8, A8, A19, CI, F4 Rabinowitz, Stanley, DlO Pirello, G., E21 Rabung, John R., A16, ElO Pitman, Jane, Cl5 Raczunas, Marek, C7 Plagne, Alain, C9, Cll, C15, C15, D4 Rado, Richard, ElO, E14, E36 Plaksin, V. A., C20 Radoux, Christian, Fl7 Pleasants, P. A. B., E21 Raitzin, Carlos, Al7 Plouffe, Simon, E, E21 Rakaczki, Csaba, Dl7 Pocklington, H. C., Dl8 Ralston, Kenneth E., AlO, Cl7 de Polignac, A., Al9 Ramachandra, K., A17, B32 Pollack, Richard M., A3, D25 Ramare, Olivier, A5, A8, B31, CI, D4 Pollak, Henry 0., Cl2 Ramirez-Alfonsin, J. L., C7 Pollard, John M., A, Cl5 Ramsey, L. Thomas, A5, ElO Pollington, Andrew D., Dl2 Rangamma, M., B37 Pomerance, Carl, A, AI, A3, A4, A5, Rankin, Robert Alasdair, ElO A8, A12, A13, A20, B2, B2, Rathbun, Randall L., D21, D21 B4, B9, B18, B22, B32, B36, Rawsthorne, Daniel A., E16, F26 B36, B37, B39, B41, B42, Razpet, Marko, B31 B46, B50, CI, D19, E, ElO, Recaman, Bernardo, C4 E16, F4,F5, F9, Fl5 Reddy, D. Ram, B3 Poonen, Bjorn, B19, D2 Reddy, M. Jagan, D26 Popken, J., F26 Ree Sang-Wook, Dl7 Porta, Horacio A., El6 Reed, I. S" F9 Porubsky, Stefan, C20, E30, F13, F13, Regimbal, Stephen, Al7 Fl4 Reidlinger, Herwig, B2 Posner, Edward C., DI Reiter, Clifford A., El6 Post, Karel, E36 Remak, Robert, Dl2 PotIer, Aaron, A8 Remy, Jean-Luc, E25 Poulet, Paul, B2, B4, B6 Ren Xiu-Min, D5 Index of Authors Cited 421

Rennie, B. C., E20 Roonguthai, Warut, A9 Renyi, Alfred, A6 Root, S. C., A5 Renze, John, A16 Rosati, L. A., Dll Resta, Giovanni, D1 Rose, Kermit, A17 Restivo, Antonio, E21 Roselle, David P., E20 Revoy, Philippe, D5 Rosen, D., D12 Reznick, Bruce, DlO Rosenberger, Gerhard, D12 Rhemtulla, A. H., E12 Rosenstiel, C. R., D1 Ribenboim, Paulo, A, A3, A17, B19, Rosenstiel, E., D 1 D2, D1, D23, D26, D26 Ross, P. M., C1 Ribet, Kenneth, D2, F5 Rosser, J. Barkley, A17 Richards, Ian, A9 Roth, Klaus F., C9, E, ElO, F4 Richert, Hans-Egon, A5, C21 Roth, Peter, E21 Richstein, Jarg, C1 Rothschild, Bruce L., ElO Rickert, N. W., A3, A8 Rotkiewicz, Andrzej, A3, A12, A13, Rickert, U.-W., C15 DIO Riddell, James, C12, ElO Rouet, J. L., E16 Rieger, G. J., B4, Dll Roy, Yves, D1, DlO te Riele, Herman J. J., A3, B1, B2, B4, Rozenberg, G., E21 B6, B8, B16, B36, C1, C1, Rubinstein, Michael, A, A17 D5, D7 Ruderman, Harry D., B31 Riemann, Bernhard, A17 Rumney, Max, B15 Riesel, Hans, A, A3, A3, B20, C20 Rumsey, Howard, D1 Ritter, Stefan Matthias, C7 Russell, W., D5 Rivat, Joel, AI, Al Ruzsa, Imre Z., AI, A4, B33, C1, C9, Rivest, R., A Cll, C15, C15, E1, E3, E9, Rivin, Igor, C18 F12 Rivoal, Tanguy, F17 Ryan, Richard F., B2 Robbins, Herbert E., E21 Ryavec, Charles, C15 Robbins, Neville, B2, D26 Rytter, Wojciech, E21 Roberts, J. B., C7 Roberts, Joe, Saez Moreno, G., D1 Roberts, S., D27 Sagan, Bruce E., E21 Robertson, John P., D15 Saito, Sadao, D28, F28 Robin, G., A17 Salem, R., ElO Robins, Gabriel, D16 Salemi, Sergio, E21 Robins, Sinai, C7, D3 Salerno, A., A8 Robinson, Raphael M., A3, B21, E15 Salie, H., ElO Radne, Arne, C12 Sallows, Lee, D15, E25 Rodriguez Villegas, Fernando, D5 Saltzer. H. E., D3 Rl'ldseth, 0ystein J., A3, C7, C12, C15 Sami, Zoran, B44 Roengpitya, Rungporn, D12 Sander, J. W., B22, B31, B33, Dll, Roesler, Friedrich, E9 E16, F15 Rogers, Claude Ambrose, F Sandor, Csaba, D1 Rogers, Douglas G., C5 Sandor, J6zsef, A8, B2, B3, B37, B42 Rohrbach, H., C12 Sandor, Lajos, D7 Rokowska, B., Fll Santoro, N., C8 ROnyai, Lajos, C15 Saouter, Yannick, A8, C1 422 Index of Authors Cited

Sapozhenko, A. A., C9 Sebastian, J. D., Cl8 Saradha, Natarajan, DlO, Dl7 Sedlacek, Jifi, Dll Sargos, Patrick, Al Seebold. Patrice, E21 Sarkozy, Andras, , , A12, B18, B19, Segal, David, B31 B33, C9, C15, C16, E, E2, Segal, Sanford L., B37, D8 E9, E21 Seibold, R., Bl6 Sarnak, Peter, A Sekigawa, Hiroshi, D5 Sastri, V. V. S., Bl6 Selfridge, John Lewis, A3, A8, A12, Sastry, K. R. S., D21 A19, B6, B21, B23, B27, Sato, Daihachiro, A17, DIO B31, B32, C5, C17, C18, Satyanarayana, M., B2 C19, Dl, D2, D17, F6, Fl3 Sauerberg, Jim, E25 Sellers, James A., C20, D3 Sawyer, Walter Warwick, Dl8 Selmer, Ernst S., C7, C12, E32 Saxena, Nitin, A Selvik, Bjorg Kristin, Cl2 Sayers, M. D., BI Sentance, W. A., Bl6 Scarowsky, W., D5 Serf, P., D27 Schatz, J. A., E21 Serra, 0., Cl5 Scheidler, Renate, B31 Shallit, Jeffrey 0., C12, E16, E21 Scher, Bob, DI Shamir, A., A Schinzel, Andrzej, A, B18, B19, B25, Shan Zun, B18, CI B27, B34, B36, B42, B47, Shanks, Daniel, , A, AI, A3, A4, A8, C20, D5, DlO, Dll, D16, A12, A17, B13, D2 D23, D24, E20, E25, F9, Fll, Shantaram, R., ElO F12, Fl3 Shapiro, Harold N., B2, B2, B41, D25, Schlafly, Aaron, B39 El9 Schlesinger, Paula, B33 Sharir, Micha, E20 Schmerl, James, C4 Sharkov, I. V., C7 Schmidt, Peter Georg, Bl6 Shattuck, Steven, F32 Schmidt, Ursula, E21 Shearer, James B., E8 Schmidt, Wolfgang M., ElO, F4 Shelah, Saharon, ElO Schmutz, Paul, D12, F9 Shelton, R., E21 Schneeberger, William A., Al2 Shen, Mok-Kong, A12, Cl8 Schnitzer, F., Cl7 Shen Tsen-Pao, Cl8 Schoen, Tomasz, C9, C9, C14, C14, Sheng, T. K., D20 El2 Shepherd, B., Cl8 Schoenfeld, Lowell, Al7 Shibata, S., B2 Schoissengeier, J., FI Shimura, Goro, C20 Scholz, Arnold, C6 Shiu, Peter, B40, Dll Schonheim, Johanan, ClO, Ell, Fl4 Shiue Jau-Shyong, Peter, B16, B18, Schrandt, R. G., E31 C7, ElO Schroeppel, Rich, E16 Shockley, J. E., C7 Schubert, H., D21 Shor, P., E20 Schuh, Fred., B37 Shorey, Tarlok N., B23, B30, B32, DI, Schultz, 0., D22 DlO, DlO, Dl7 Schur, Issai, B33, Ell Shparlinski, Igor E., Dll, F9 Schwarz, Hermann Amandus, Dll Shu Ling-Hsueh, E25 Schwarz, Wolfgang, DI Shulz, H. S., C12 Scott, Reese, Dl, DlO Shyr, H. J., E21 Index of Authors Cited 423

Siebert, Hartmut, A17 S6s, Vera Tunin, C9, C9, E9 Sierpinski, Wadaw, , A, AI, A5, A17, Soundarajan, K, E1, F1, F15 B2, B18, B21, B36, C20, D5, Spearman, Blair K, Bll D8, Dll, D18, D22, D23, E25 Spencer, D. C., E10 Sikora, Adam, E38 Spencer, Joel H., E2, E10 Siksek, Samir, D1O, E34 Spencer, P. H., C18 Silverman, Joseph H., B30, D1, D12, Spiegel, Eugene, C4 D15 Spiro, Claudia, B41 Silverman, Robert D., , A3 Spohn, W. G., D18 Simmons, Gustavus J., D25, E10, E33 Sprague, Roland Percival, C20, C21 Simpson, R. Jamie, E10, E21, E23, Srinivasa Rao, B., D3, D26 F13, F14, F15 Srinivasan, B. R., A17, D26 Singer, J., C9 Srinivasan, Seshadri, F9 Singer, M., A17 Stanidi, Pantelimon, B22 Singmaster, David Breyer, D3, D24 Stanley, Richard P., E10 Sinisalo, Matti K, C1 Stanton, Ralph G., B21, C1O, E20 Sirota, E. R., Al Stark, Harold M., D26 Sitaramachandra Rao, R., B3, B16 Starke, Emory P., D24 Sitaramaiah, V., B9 Stauduhar, Richard, Fll Siva Rama Prasad, V., B3, B37, D3, Stechkin, Boris S., A17, C7 D26 Steen, Adolf, E37 Sivaramakrishnan, R., B42 Stein, M. L., C1 Skalba, Mariusz, E21 Stein, P. R., C1, D5 Skinner, Christopher M., D1, D2, D3, Stein, Sherman K, Dll, F14 D10, D10 vom Stein, Axel, B7 Skula, Ladislav, A2, A3, A17, D2 Steiner, Ray P., D6, D1, D26, E16 Slater, M., C18 Stemmler, Rosemarie M., B25 Slater, Peter J., C10 Stemple, J. G., B4 Sloane, Neil J. A., A12, C9, C1O, D1, Stephens, A. J., B16, B25 E, F25 Stephens, Nelson M., D27 Sluyser, Mels, C1 Steuerwald, R., B2 Smith, Herschel F., A9 Stevens, R. S., E10 Smith, Joel F., A8 Stevenhagen, Peter, A3 Smith, John H., E38 Stewart, Bonnie M., Dll Smith, Michael, B49 Stewart, Cameron L., A8, B19, D26 Smith, Paul, C8 Stiller, Jorg, D10 Smith, Rachael C., E31 Stohr, Alfred, C12, E Smyth, C. J., D1 Stolarsky, Kenneth B., C6, E16, E16, Snyder, Julia, D12 F4 Solovay, R., A Stoll, Peter, Dll Solymosi, Joszef, F18 St(llrmer, C., D10 Somer, Lawrence, A3, A12 Strassen, Volker, A Somos, Michael, A, E15 Straus, Ernst Gabor, B2, B17, B33, C5, Sompolski, R. W., D2, D2 C6, C16, Dll, E24 Soni, R. P., E21 Street, Anne Penfold, C14, Ell, E12 Sonntag, Rolf, C6 Stroeker, Roelof Jacobus, D3, D7, Dll, Sorenson, Jonathan, A, A4 D23 Sorli, Ronald M., B1, B2 Styer, Robert Alan, D1O, D10 424 Index of Authors Cited

Subba-Rao, K., Dl Tee, Garry J., A17 Subbarao, Mathukumalli V., A2, B2, Teeple, E. A., E34 B3, B3, B9, B17, B18, B37, Temperley, Nicholas, B2 B39, C6 Templer, Mark, A2 Sudbery, A., F4 Tenenbaum, Gerald, Dll, E3, E3, F18 Sugunamma, M., B15, C6 Terai, Nobuhiro, BI9, DlO Sulyok, Miklos, Ell Terras, Riho, E16 Summers, T., B8 Terzi, D. G., Dll Sumner, John L., D22 Teske, Edlyn, A7 Sun, Chi, Dll Tetali, Prasad, C9 Sun Qi, B47, D5, D6, DlO, Dl3 Teuffel, E., A17 Sun Zhi-Wei, A17, A19, B33, C15, C15, Thangadurai, R., C15 F13, F14, F15 Thatcher, Alfred R., D15 Sury, B., BI6, CI5 Thiele, Torsten, F4 Suryanarayana, D., B2, B2, B3, B9, Thompson, John G., A17 B16, BI7, D21 Thomson, Jan McDonald, C9, E32 Suyama, Hiromi, A3 Thouvenot, J. P., ElO Suzuki, Jiro, D2 Thue, Axel, E2l Sved, Marta, DlO Thurber, Edward G., C6 Swierczkowski, S., , C17 Thyssen, Anthony, A5 Swinnerton-Dyer, Henry Peter Francis, Tichy, Robert F., DlO DI, Dl, D9, F22 Tijdeman, Robert, B19, B32, D7, Dl, Sylvester, James Joseph, B33, C7, Dll DlO, DlO, Dll, D17, E18, SzabO, Zoltan Istvan, EI0 E21, F14, F23 Szalay, Laszlo, DIO, D26 Tiller, G., B8 Szalay, Michael, F9 Timar, Adam, Al Szegedy, Mario, F15 Tinaglia, Calogero, C7 Szekeres, Esther, B30, Ell Tolev, D. 1., Cl, C20 Szekeres, George, A12, B16, B31, Ell Tong Rui-Zhou, Dl Szemeredi, Endre, C9, C9, C15, D4, E, Top, Jaap, D3 E2, E6, EI0, Ell, E20, F4, Toth, Janos T., B36 F18 Touchard, Jacques, Bl Szymiczek, Kazimierz, AI2, DI7, D23 Tovey, Craig A., D3 Trifonov, 0., B16 Tachibana, Katsuichi, D3 Trigg, Charles W., A9 Taira, Mayako, D27 Tripathi, Amitabha, C7 Tait, Peter Guthrie, E37 Trost, E., D24 Takakuwa, Tei, DlO Trujillo, Carlos, C9 Takenouchi, Tanzo, Dll Truong, T. K., F9 Tallman, M. H., D26 Trusov, Ju. D., Dl Tang, Min3 , A12 Tsangaris, Panayiotis G., AI, A17 Tanner, Jonathan W., D2 Tsuruoka, Yukio, D5 Tanny, Stephen M., E31 Tunnell, Jerrold B., D27 Tao, Terence, A5 Turan, Pal, A4, A5, All, C9, E, ElO Taylor, Brian D., EI6, E32 Turgeon, Jean M., B24 Taylor, Herbert, ClO, C18 Turjanyi, S., D3 Taylor, Richard, D2 Turk, Jan, B30 Taylor, W., E21 Tzanakis, Nikos, D3, D6, D7, DlO, D15 Index of Authors Cited 425

Ubis, A., B36 Wada, Hideo, A17, D17, D27 Uchiyama, Saburo, A8, A19, D3, DlO, van der Waerden, B. L., ElO Dl3 Wagon, Stanley, , A16, B39, D15, El6 Udrea, Gheorghe, D23 Wagstaff, Samuel S., A3, A12, A13, D2, Ulam, Stanislas M., , C3, C4, E31 F9 Urbanek, Friedrich J., E21 Wahl, Patrick T., D3 Urbanowicz, Jerzy, D7 Wakayama, Masuto, Fl7 Utz, W. R, B33, C6 Wakulicz, A., B36 Wald, Morris, CI Vaidya, A. M., B4 Walker, David T., Bl6 Vajaitu, Marian, B47 Wall, Charles R, B2, B2, B3, B4, B8, B36, B41, D26 Vajaitu, Viorel, F9, F28 Wall, David W., B37 Vakil, Ravi, E31 Wallis, Jennifer Seberry, Ell Valette, Alain, B39, B39 Wallis, Walter Denis, Ell Vanden Eynden, Charles L., A17, B16, Walsh, Peter Garth (Gary), B16, B19, E23, Fl4 D7, DI, DIO, D23, D26 van der Poorten, Alfred J., A13, B16, Wang Du-Zheng, D9, DlO, DlO D2, F17, F31 Wang, Edward T. H., CI, C14, El2 Vandiver, Harold S., D2 Wang Hui, Fl2 Van Hamme, L., Fl7 Wang Jia-Bao, B19, DlO Vantieghem, E., Al7 Wang Peng-Fei, Dll Vardi, Han, C18, C18, E16, E25 Wang Tian-Ze, A8, A19, CI, CI, CI Varnavides, P., Cl4 Wang Wei3 , A4 Varona, Juan L., B6 Wang Yan-Bin, DlO, D23 Vaserstein, Leonid N., D5, D5 Wang Yuan, CI Vassilev-Missana, Mladen V., A19, B36 Ward, Morgan, DI Vaughan, Robert C., A9, A19, B40, Warlimont, Richard, B41, Cll, D3 B42, CI, CI, D4, D5, Dll, Warren, L. J., B3 F4 Waterman, Michael S., E25 Vegh, Emanuel, F9 Watson, George Neville, D3 Veigneau, S., F32 Watt, Nigel, A8, D4 Velammal, G., B33 Wattel, E., FI Velasco, M. J., Bl6 Watts, A. M., El6 Venkatesh, T., D23 Weakley, William D., Cl8 Venturini, G., E16, El7 Webb, William A., Dll Vinogradov, I. M., CI Weber, J. M., B3 Viola, C., D24 de Weger, Benjamin M. M., D3, D3, Vitolo, A., A8 D9, DIO, D26 Vladimirov, V. S., B44 Weinberger, Peter, A3 Vogt, R L., Bl3 Weiner, Paul A., B2 Vojta, Paul, Bl9 Weintraub, Sol, A5, A6 Voorhoeve, M., D7 Weis, Kevin L., B42 Vorhauer, Ulrike M. A., C20 Weiss, A., El6 Voutier, Paul M., A3, D23, D26 Weisser, D. P., D26 Vu, Van H., A19, D4, EIO Weitzenkamp, Roger C., Al9 Vucenic, W., Cl8 Wells, David, B50 Vulakh, L. Ja., Dl2 Welsh, 1., A3 426 Index of Authors Cited

Wen Zhi-Xiong, E21 Wu Yun-Fei, DIO Wen Zhi-Ying, E21 Wunderlich, Marvin C., B6, B8, C3, Wen Zhang-Zeng, D28 C4, D8 Werebrusow, A. S., DI Wyburn, C. T., C6 Wheeler, D. J., A3 Wyler, Oswald, D26 Whitehead, Earl Glen, Ell Wichmann, B., CIO Xie Sheng-Gang, A9 Wick, Brian, Al6 Xu Tai-Jin, DlO Wiens, Douglas, Al7 Xu Xue-Wen, D23 Wiertelak, Kazimierz., E38 Xu Yi-jing, FI Wilansky, Albert, B49 Xu Z.-Y., D3 Wild, K., F4 Wiles, Andrew J., D2 Yabuta, Minoru, D26 Wilf, Herbert S., C7, Dll, E21 Yamada, Masaji, El6 Willans, C. P., Al7 Yamamoto, Koichi, Dll Williams, E. R, El4 Yan Song-Y., B4, CI Williams, Hugh Cowie, A, AI, A3, A7, Yang Si-Man, A19, Fl3 A13, A17, B16, B16, B21, Yao Jia-Yan, E21 B31, D2, D23, D26, D26, Yao, Qi, A8 D29, F7 Yates, Samuel, A3, B49 Williams, Kenneth S., Bll, C20 Yau, Stephen S.-T., F, FI Wilson, David W., DI, El6 Yebra, J. Luis A., F4 Windecker, R, Cll Yeung Kit-Ming, Fl7 Winter, David, F4 Yip L.-W., B39 Winter, Dik, A3 Yokota, Hisashi, Dll Wirsching, G., E16, Fl4 Yong Gao-Chen, B21 Wirsing, Edward, B2 Yorinaga, Masataka, A12, A13, A19, Wiseman, Julian D. A., E38 B36 Witsenhausen, Hans S., E2 Yoshida, Shin-ichi, D27 Witt, E., ElO Yoshitake, Motoji, B2 Wojtowicz, Marek, A3, BI, B37, B42 Young, Jeffrey, A3, A3, A8, B2I Wolke, Dieter, CI Yu Gangl, A8 Wong, Erick Bryce, A17, Al7 Yu Kun-Rui, B19, D25 Woods, Dale, A13, B4 Yu Li, DlO Wooldridge, K. R, B39 Yu Xin-He, CI Wolfskill, John, DIO Yuan Ping-Zhi, B16, B19, D6, DlO, Wooley, Trevor D., DI, DI, D3, D4, D17 D4,FI Yuan Yi, Fl2 Woollett, M. F. C., D5 Wormell, C. P., Al7 Zaccagnini, Alessandro, A8, Al9 Wrench, John W., A8 Zachariou, Andreas, B2 Wright, Edward Maitland, A17, C20, Zachariou, Eleni, B2 D5 Zagier, Don B., A17, D5, Dl2 Wu Chang-Jiu, Dll Zaharescu, Alexandru, B47, F9, F15, Wu Hua-Ming, D23 F28 Wu, Jiel , AI, A8, Bl6 Zajta, Aurel J., DI, DI Wu Ke-Jian, DIO Zaks, Ayal, ElO Wu Wei6 , D28 Zaks, M., E2I Index of Authors Cited 427

Zarankiewicz, Kazimierz, A5 Zhu Wen-Yu, AI3 Zarantonello, Sergio E., A8 Zhu Yao-Chen, B22 Zaremba, Stanislaw Krystyn, F20 Zhu Yi-Liang, C20 Zarnke, C. R., BI6 Ziemak, K., AI2 Zay, Bela, E31 Zimmer, Horst G., DI Zeilberger, Doron, F13, F14, FI7 Zimmermann, Paul, A6, B6, C18, D4 Zeitlin, David, C4, E3I Zinoviev, D., CI Zemor, Gilles, CI5 Ziv, A., CI5 Zhan Tao, C20 Zivkovic, Miodrag, A2, B43 Zhang Liang-Rui, Dll Zlotkowski, W., DIO Zhang Ming-Zhi, A13, B36, B42, D28, Znam, Stefan, Ell, E13, E16, F13, FI4 FlO, F13, FI4 Zhang Wen-Peng, F9, FI2 Zollner, Joachim, FI4 Zhang Zhen-Xiang, A12, A13, B47, C9, Zongben Xu, FI2 E4, E28 Zuazua, Rita, Al Zhao Chun-Lai, D27 Zudlin, V. V.(Wadim), FI7 Zhong Mei, D23 Zuehlke, John A., D2 Zhou Chi-Zong, D26, EI6 Zun, Shan, B37 Zhou Guo-Fu, D7 Zwillinger, Dan, CI General Index

Names appear here if their mention in this volume is unsupported by ref• erences. Single letter entries refer to the Introduction (pp. 1-2) and to the beginning of Sections A (pp. 3-7), E (p. 311) and F (p. 365).

3x + 1 problem, E16 Applegate, Harry, F28 , B2 A-sequence, E28 , A, A5, A6, ABC conjecture, A3 A19, ElO, E23, E33 abc-conjecture, B19, DlO Artin's conjecture, F9 Abe, Nobuhisa, D17 Ashbacher, Charles, D21 abundance, B2 associates, A16 abundant, B2 asymmetric primes, A20 addition chain, C6 asymptotic, Al additive basis, C12 asymptotic density, A17 additive sequence, C4, E32 Adler, Andrew, C20 B2-sequence, C9, E28 admissible partition, Ell Bailey, David F., Dll Alanen, Jack, BlO Baillie, Robert, A3 algebraic number, F22 Baker's method, DlO aliquot cycle, B7 Baker, Alan, C4 aliquot parts, B, B4 balanced words, F14 , B6 ballot numbers, B33 Allenby, Reg, E34 Bang, Th(iiger, B46 almost perfect, B2 Baragar, Arthur, D23 , B4 Barnouin, Pierre, F24 amicable triples, B5 barrier, B8 Andersen, Jens Kruse, A8, A9 basis, E32 Anderson, Claude, D13 Bateman-Horn conjecture, A Andrica, Dorin, A8 Beatty sequences, E27, F14 Ankeny-Artin-Chowla conjecture, B16 Benkoski, S. J., FlO Apery number, F17 Bergmann, Horst, D18 Apery numbers, F17 Bergum, Gerald E., D19

429 430 General Index

Bernoulli numbers, A17, DlO Chase, Scott I., DI Bernstein, Daniel Jo, DI Chebyshev bias, A4 betrothed numbers, B5 chemistry, E3I Betsis, Dimitrios, A9 Choi, So L. Go, FI4 Bhaskara equation, B16, Dll, D17, Choudhry, Ajai, Dl3 D23, F7 Chowla, Sardomon Do, A4, B18, D16 bicomposite, A8 Chudnovsky, Gregory Vo, D17 binomial coefficient, B3I, B33, Dll, class-number formula, F5 D17, D25 cluster, D20 Blecksmith, Richard, Dll cluster prime, A8 Boadhurst, David Jo, Dll Cohen, Stephen, F9 Bond, Reginald, B44 Cohn, John Ho Eo, D13 Bowen, Rufus, D15 coin problem, C7 Brauer chain, C6 Collatz, Lothar, EI6 Brauer number, C6 collinear , ElO Brauer, Alfred, ElO Collison, David, DI5 Brennan, Jack, A8 , A Brizolis, Demetrios, F9 congruent, A4 Broad, AI3 , D27 Broadhurst, David, A3 continued fraction, Dll, F20, F2I, F22, Browkin, Jerzy, B36 F23 Brown, Kevin So, Dll Conway, John Horton, A3, A8, B19, Bruce, Richard, Dll B20, B33, Dl, Dl9, E20 Brun-Titchmarsh theorem, B39 Conway-Guy sequence, C8 Brun's constant, A8 Conway's RATS, F32 Brun's method, B42 Coppersmith, Don, F26, F3I Buckley, Mo R., D27 coprime, A Buell, Duncan, DI5 Cosgrave, John, A3 Bugeaud, Yann, D26 Costas array, C18 Burr, Stefan, C4 Costas arrays, F9 Buzzard, Kevin, B43 Coughlan, Francis, F28 counting sequences, E25 Cameron, Peter J 0, C9 covering congruences, B2I, E3, F13, Cameron-Erdos conjecture, C9 F14 Carmichael function, F9 covering problem, C12, CI3 , A12, A13, B37, covering system, F13 Dl Cramer's conjecture, A2 Carmichael sequence, AI7 Croft, Hallard To, AlO, F23 Carmichael's conjecture, B39 , C13 Carmo, A13 Cullen numbers, B20 Carmody, Phil, A5, A7, A8 Cunningham chain, A7, A18, B48 Catalan conjecture, B19, D17 cycle, D18, EI7 , D25 Czipszer, Jo, CI7 Catalan numbers, B33 Catalan-Dickson conjecture, B6 Davenport-Schinzel sequence, E20 Cauchy-Davenport Theorem, CI5 De Koninck, Jean-Marie, A3, Bll chain, EI7 Dedekind's function, B8, B37, B38, champion, A8 B41 General Index 431 deficiency, B3I error-correcting codes, CI0 deficient, B2 , B45 deletable prime, A3 Euler , A12 density, B2, E, E26, E36 Euler, Leonhard, AI, B48, DI, D17, derived cuboid, DI8 D18, D20, D2I, D22 determinant, F27, F28 Euler's constant, B4I Dickerman, Mitchell R., B6 Euler's function, Bll, B2I, B36, B37, Dickson pseudoprime, AI2 B38, B39, B4I, B42, Dll Dickson, Leonard Eugene, D22 exact covering system, Fl4 digital problems, F24, F25, F3I exponential , BI7 Diophantine m-tuple, D29 extremal basis, C12 Dirichlet's theorem, A Dirichlet, Peter G. Lejeune, Fl, F5 , B44, D25, Fll Divis, Bohuslav, F2I factorial n, A2, B22, B23, B43 , B, B6, B8, B12, B17, fan, Cl3 B18, B29 Farey series, Dll, F27 divisor problem, FI Feit, Walter, B25 Dressler, R. E., C20 , A3, A12, B21 Dubner, Harvey, A8 Fermat problem, Bl9 Dudeney, Henry Ernest, DI9 Fermat quotient, A3, AI7 Diintsch, Ivo, BI8 Fermat, Pierre de, D17, D27 Fermat-Torricelli point, DI9 e-multiperfect, BI7 Fermat's (little) theorem, B20 e-perfect, BI7 , A12, D26 Easter, Michael, B23 Fibonacci pseudoprime, AI2 Ebert, Gary, F8 Fibonacci sequence, A3 Edgar, Hugh Maxwell Wallace, DlO, , Dll DI7 Filaseta, Michael, A3 Eggleton, Roger, BI8 Finucane, Daniel M., B41 Eggleton, Roger Benjamin, BI8 Folkman, Jon, Ell Egyptian fractions, Dll, FI4 fortunate primes, A2 Eichhorn, Dennis, BI Fortune's conjecture, A2 Eisenstein-Jacobi integers, AI6 Fougeron, James, A5 Eisenstein-Jacobi primes, AI6 F'rE3nicle de Bessy, Bernard, Dl Elkies, Noam, A2 friendship graph, CI3 Elliott-Halberstam conjecture, B4I frieze pattern, DI8 elliptic curve, DI, DlO Frobenius's problem, C7 elliptic functions, Dll Frobenius, G., C7 Epstein, Richard, E26 Erdos, Pal, A2, A15, B13, B15, B19, Gagola, Gloria, F9 B34, B38, CI, C2, Cll, D13, Gallyas, K., D27 D15, D17, E6, E7, E8, E12, Gandhi, J. M., DIO E29, E30, E33, F3, F9, F16, Gardner, Martin, A6, B4, Dl9 F23, F25, F30 Gascoigne, Stuart, DI Erdos-Ginzburg-Ziv theorem, Cl5 GauE, Carl Friedrich, F5 Erdos-Heilbronn conjecture, Cl5 Gaussian , A16, FI3 Erdos-Szemeredi problem, Fl8 Gaussian prime, Al6 Erdos-Turan problem, C9 GauE's problem, FI 432 General Index

Gel'fond-Baker method, F23 harmonic number, B2 Gessel, Ira, B33 harmonic seed, B2 Gilbreath's conjecture, AlO harmonious graph, CI3 Giuga conjecture, AI7 harmonious labelling, ClO , AI7 Heath-Brown, D. Roger, BI Giuga sequence, AI7 Heilbronn, Hans, F4 Gobel, Fritz, EI5 Helenius, Fred, B2 Gobel sequence, EI5 Heron triangle, D22 Godwin, Herbert James, B6 Hesterman, Lambertus, F27 Goldbach conjecture, BlO, B19, CI , C20 golden ratio, C6, E25 hexahedra, D2I Goldston, Daniel L., A8 Hickerson, Dean, A2, B23, Dll, F24 Golomb ruler, ClO Hilliard, Cino, A3 Golomb's sequence, E25 Hitotumatu, Sin, F24 Gomez Pardo, Jose Luis, A8 Hoey, Dan, D2I, F24 good primes, AI4 Hoey, Daniel, B2, Dll Goormaghtigh conjecture, DlO Hoffman, Fred, B42 Goormaghtigh, R., B25 Hooley, Christopher, DI2 Gordon, Basil, A16, B37, F28 Hunter, J. A. H., D19, D27 Gorzkowski, Waldemar, B20 Hurwitz equation, DI2 Gosper, Bill, F24 Hutchings, Robert L., C7 graceful graph, CI3 , B2 graceful labelling, ClO Hypothesis H, A Graham, Ronald Lewis, B2, B30, B37, D17, D23, E8, E29, E33, FlO, independent, CI9 FI5 infinitary divisor, B3 Graham, Sidney W., AI3 infinitary multiperfect number, B3 Granville, Andrew, B19, B30, DI infinitary , B3 greatest common divisor, A, E2 irrationality sequence, E24 Grecu, Dan, A8 irreducible semiperfect, B2 greedy algorithm, ElO, E28, E32 irregular prime, DlO, DI5 Grimm's conjecture, B32 Isaacs, Rufus, B5 Guilford, John, F24 Gupta, Hansraj, D17, E22 Jacobi symbol, A12, F5 Gupta, Shyam Sunder, AI2 Jacobsthal, E., B40 Guy, Michael John Thirian, D19, EI7 Jobling, Paul, A7, B4

Haj6s, G., B37 k-th power residues, F6 Hall, Richard R., CI9 Kalsow, William, D20 Hall's conjecture, DI7 Kanapka, Joe, BI9 Hamilton, John, F24 Keller, Wilfrid, B43 Hansen chain, C6 Kelly, Blair, DI , E34 Kemnitz, Arnfried, D2I Harborth, Heiko, D2I Kertesz, Adam, Dll Hardin, Ron, Dll Khare, S. P., B3I, B33 Hardy, Godfrey Harold, FI Kimberling shufHe, E35 Harley, Robert, A3 Klarner, David, CI4 harmonic mean, B2 Klarner-Rado sequence, E36 General Index 433

Kleitman, Daniel J., B24 magic square, A6, Dl5 Kolba, Z., E20 Mahler, Kurt, B46, C4, DI Kummer surface, Dl9 Makowski, Andrzej, B8, Bll, B13, Kummer, Ernst Eduard, B33, DlO B48, C20, FlO Kuosa, Nuutti, DI Markoff equation, D12, D23 Markoff number, Dl2 Lacampagne, Carole, F31 Martin, Greg, BI Lagarias, Jeffrey, F26 Martin, Marcel, A8 Lagrange, Jean, Dl4 Massias, J. P., E8 Lam, Clement W. H., Cl5 max sequence, E27 Landau, Edmund, D12, FI McCranie, Jud, A19, B8, B13, B18, Lander, Leon J., A8 B36, B48, E34, F5, F9, Fl9 lattice point, D20, ElO, F, FI, F2, F3, McIntosh, Richard, A3, F28 F4 McKay, John, B33 Lau, Kenneth, F28 McKay, John H., B25 Law of Small Numbers, A3, B20, C17, McMullen, Curt, F32 D23, D24, F5 Meally, Victor, A8, C18, Dll, FlO, F23 , B26, E2, Fl9 Mercator, Nicolaus, F23 Leech, John, A16, B33, C20, DlO, Dll, , A3, BI, B5, B9, Bll, D14, D17, D19, D21, D22, B15, B38 D25 mex, E27 left factorial, B44 mex sequence, E27 Legendre symbol, F5 Meyerowitz, Aaron, B30 Lehmer conjecture, B37 Meyrignac, Jean-Charles, DI Lehmer, Derrick Henry, A8, B2, B36, Mian-Chowla sequence, E28 DI, Dll, FlO Mignotte, Maurice, D26 Lehmer, Emma, B36, FlO Lehmer pseudoprime, Al2 minimum overlap problem, Cl7 Lehmer, Derrick Henry, Fl2 Mobius function, A Lemmermeier, Franz, A3 modular Mousetrap, E37 Lenstra, Hendrik Willem, E15, E34 monotone A.P., E33 Leonardo of Pisa, D27 Montgomery, Peter, B16, FlO Levine, Eugene, B33, Ell Montgomery, Peter Lawrence, BI, B33, Linnik's constant, A4 DI, Dll, F6, F28 Lint, Jacobus H. van, E25 Moore, Duncan, DI Littlewood, John Edensor, A4, E18, Mordell, Louis Joel, D, DI, Dll, D12, F23 D17, D28, F29 Longyear, Judith, D28 Morse sequence, E21 loopy game, E26 Moser, Leo, Bll, CI, C5, D14, D15, Lucas chain, C6 F21 Lucas-Lehmer sequence, A3 Motzkin, Theodor S., A16, B19, E22 Lucas-Lehmer test, A3 Mousetrap, E37 , D26 Mulkey, Gary, Dll , Al2 Mullin, A. A., A8 Lucas's problem, Dll multigrade equations, D I lucky numbers, C3 multiperfect, B2 multiply perfect, B2 MacMahon, Percy A., E31 Myerson, Gerry, Bl6 434 General Index

N-position, E26 perfect difference set, ClO Nagashima, Takahiro, D28 perfect number, A3, BI, B5 Nagell-Ljunggren equation, DlO permutation sequence, EI7 Napier's rules, DI8 Perrin pseudoprime, AI2 Narkiewicz, Wladyslaw, A15, B16, F9 persistence, F25 Newman, Morris, F28 Petersen graph, CI3 Nicely, Thomas R., A8 Pillai primes, A2 Nicol, Charles, A3 Pinter, Akos, DI7 nim addition, E27 Platonic solid, CI3 nim-like games, E27 Pomerance, Carl, A2, A3, B8, B19, Nissen, Walter, B42 B47, DI, D17, E30, F9 no-three-in-line problem, F4 Poonen, Bjorn, A2 Noll, Landon Curt, AI5 postage stamp problem, CI2 nonaveraging set, CI6 power residue, F6 noncototients, B36 , B16, DlO nondividing set, CI6 powerful numbers, B3I nontotients, B36 , B2 number of , B prime circle, CI prime clusters, A9 Oakes, Michael, A2 prime desert, A8 octahedron, CI3 prime factorial, A8 octal game, E27 graph, A5, AI4 odd sequences, E38 prime number race, A4 Odlyzko, Andrew, A8 prime numbers of measurement, E30 Oliviera e Silva, Tomas, CI prime pyramid, CI ordinary point, DI8 primitive abundant, B2 Ore number, B2 primitive part, A3 Oursler, Clellie, D28 primitive pseudoperfect, B2 Owens, Frank, C4 primitive root, F9 primitive sequence, E4 P-position, E26 p, A2 packing problem, C9 Prouhet-Thue-Morse sequence, E2I palindrome, A3 pseudoperfect number, B2, Dll, FI4 palindromic numbers, AI2 pseudoprime, A12, FlO paradox, EI7 Purdy, George B., F3 Parker, Ernest T., B25 Pythagorean ratio, D 17 Parkin, T. R., A8 Pythagorean triple, D18, D2I partial quotient, F20, F2I, F22 Pascal triangle, B33 quadratic chains, A 7 patterns of primes, A9 quadratic reciprocity law, F5 patterns of quadratic residues, F6 quadratic residue, F5, F6, F8, F9 Paulhus, Marc, D25 quadri-amicable, B5 Pedersen, J. O. M., B7 quasi-amicable, B5 Pell equation, B16, Dll, DI7 quasi-perfect, B2 Pell sequence, A3 queens problem, CI8 Penney, David E., B8 Queneau's problem, C4 , C20 perfect cuboid, DI8 radical, Bll, BI9 General Index 435

Raines, Terry, B42 Selfridge, John Lewis, A2, A3, A9, A18, Ramanujan-Nagell equation, DIO, D17, B2, B8, B22, B28, B30, B33, D23 B42, B46, B47, C14, C15, Ramsey number, Ell Dll, D25, F19, F27, F31 Rathb, D22 Shafer, Michael, A3 Rathbun, Randall, D22 Shallit, Jeffrey, B23 Rathbun, Randall L., DI, Dl8 Shanks chain, A 7 rational box, D18, D21 Shanks-Renyi prime number race, A4 rational simplex, D22 Shapiro, Harold N., Dll RATS, F32 Shedd, Charles L., D21 Recaman, Bernardo, B40 Shoults, Dale, Dl8 recurrence relation, A3 Sidon sequence, C9 recurring sequences, A3 Sidon set, F30 regular equation, El4 Sierpiiiski, Waclaw, B13, D24, FlO regular prime, DlO, Dl5 sieve of Eratosthenes, C3 Renyi, Alfred, B9 Siksek, Samir, D26 , A3 Silverman, David, B48, E8 residue class, A Silverman, Robert, C2 Rhind papyrus, Dll Simmons, Chuck, Al5 Riddell, James, Fl9 Singer, J., ClO Riemann hypothesis, A4, A8, A19, singular point, DI B16, CI, C3, F9 singular solution, Dl2 Riemann (-function, B48, Fl7 Slavic, Dusan V., B44 Rosenburg, Bryan, D20 Sloane, Neil J. A., B33, Dll Rosenthal, Hans, A5, A8 Smith numbers, B49 Rosenthal, Rainer, ElO sociable numbers, B7 Sole, Patrick, E38 Rote, Gunter, E20 Somos sequence, El5 Roth, Klaus F., E9 Sophie Germain prime, B48 Rotkiewicz, Andrzej, FlO Sophie Germain primes, A 7 Ruderman, Harry D., B47 Soria, Javier, A2 Rudnick, Carl, Dl7 Sos, Vera Turan, El4 ruler function, E22 span, EIO Russo, Felice, BlO sphere, FI Ruth-Aaron number, B50 spherical triangle, Dl8 Spiro, Claudia, Bl8 Safholm, Sten, A9 Sprague-Grundy theory, E27 Sastry, K. R. S., Dll, D17, Dl9 square pyramid, Dll Sasvari, Zoltan, D25 squarefree, A3, B3, Bll, B16, B17, Scherk, Peter, Cl7 B19, B33, B43 Schinzel, Andrzej, B13, B37, Dll, D17, Stanley, Richard P., Bl6 D24, Ell Stark, Harold M., F7 Schinzel's conjecture, A2 Stechkin, Boris S., Al7 Schroeppel, Rich, B42 Stewart, Bonnie M., A2 Schur number, Ell Stirling's formula, B22 Schur's conjecture, F5 Stohr sequence, E32 Schweitzer, Michael, Dl5 Stong, Richard, Dll self-contained integer, El6 Straus, Ernst G., B19, B22, E22 436 General Index

Strong Law of Small Numbers, F27 unit fractions, Dll , AI2 unitary aliquot sequence, B8 strongly independent, CI9 , B3 strongly sum-free, EI3 unitary multiperfect, B3 Struppeck, Thomas, B6 , B3 Styer, Robert, BI9 unitary sociable numbers, B8 Sulyok, Miklos, C9 unitary untouchable numbers, BlO sum of divisors, B, B2 units, AI6 sum-free, EI2 untouchable numbers, BlO sum-free sequence, E32 Upton, Leslie J., DI9 sum-free set, CI4 sum-product problem, FI8 van der Waerden's theorem, ElO sums of squares, C20 Vandemergel, Stephane, A4, BI8, DI, Sun Zhi-Hong, A3 Dll, D16 superperfect numbers, B9 Velez, William Yslas, B47 Swinnerton-Dyer, Henry Peter Francis, Viete, Fram;ois, DI CI7 vLuij, D22 Sylver Coinage, C7 Vojta, Paul, DI symmetric primes, A20 Szemeredi's theorem, A5, ElO Wagon, Stanley, A2, Dll Szpiro, Lucien, D25 Wagstaff, Samuel S., B43, B48 Wall, B4 table of primes, A Wall, Charles R., B38 Tarry-Escott problem, DI Waring's problem, C2I, DI2, DI3 taxicab numbers, DI weakly independent, CI9 Taylor, Herbert, FI9 Weger, Benne M. M. de, F23 Terai-Jesmanowicz conjecture, DlO Weintraub, Sol, A8 tetrahedroid, DI9 weird, B2 tetrahedron, Dll, D22, FI wheel, CI3 Thatcher, Alfred R., DI8 Whiteman, Albert Leon, EI9 Thompson, Chris, F6 , A3 Thompson, John G., B25 Wiethaus, Holger, B4 Thue sequence, E2I Wilf, Herbert, A3 Thue-Morse sequence, E2I Wilson primes, A2 Thue-Siegel theorem, B30 Wilson quotient, A2, AI7 Tijdeman, Robert, B46, E7 Wilson, David, B2 totatives, B40 Wilson, David W., A3, BlO, DI2 totient function, Bll, B36, B4I, B42, Wilson's theorem, A2, AI7 Dll Windecker, CI2 , C20, Dll, D2I, D26 windmill, CI3 triperfect number, B2 Wolstenholme's theorem, B3I Turan, Pill, C20, EI3 Woodall primes, B20 twin primes, A8, BI9, B38 Woods, Alan R., B29 Wytek, Rudolf, F28 U-numbers, C4 Wythoff pair, E27 Ulam, Stanislas M., F22 unique factorization, AI6 Yang Yuan-Sheng, ClO unit, A Yildirim, Cern, A8 General Index 437

Yuanhua, Ren, B7 zeta-function, FI7 Zhang, Ming-Zhi, AI2 Z-number, EI8 Zeitlin, David, C4 Zimmerman, Paul, B2 zero-sum-free set, CI5 Zweers, Frank, B4 Problem Books in Mathematics (continued)

Algebraic Logic by S. G. Gindikin

Unsolved Problems in , (Third Edition) by Richard K. Guy

An Outline of Set Theory by James M Henle

Demography Through Problems by Nathan Keyfitz and John A. Beekman

Theorems and Problems in Functional Analysis by A.A. Kirillov and A.D. Gvishiani

Exercises in Classical Ring Theory, (Second Edition) by T.Y. Lam

Problem-Solving Through Problems by Loren C. Larson

Winning Solutions by Edward Lozansky and Cecil Rosseau

A Problem Seminar by Donald J. Newman

Exercises in Number Theory by D.P. Parent

Contests in Higher Mathematics: MiklOs Schweitzer Competitions 1962-1991 by Gabor J. Szekely (editor)