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OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings .•••••••••...•••..••......••••... 582 Program for the June Meeting in Portland, Oregon ..•.•••..••.. 583 Abstracts for the Meeting- Pages 613-622 PRELIMINARY ANNOUNCEMENT OF MEETING •••••••••••••••••••••• 588 AMS MATHEMATICAL OFFPRINT SERVICE. • • • • • • • • • • • • • • • • • • • • • • • 595 THE CONFINEMENT OF A RUSSIAN MATHEMATICIAN •.••••••••••••••. 597 MEMORANDA TO MEMBERS Resolution on the Draft •••••••..•...••••••••.••..•..... 587 Different Categories for By-Title Abstracts ••...•....•....... 587 Request for Names of Visiting Foreign Mathematicians .•...•.... 587 NEWS ITEMS AND ANNOUNCEMENTS ••••••••••••••• 594, 596, 601, 607, 610 PERSONAL ITEMS •••••••••••••••••••••••••••••••••••••••••• 606 LETTERS TO THE EDITOR •••••••••••••••••••••••••••••••••••• 608 ABSTRACTS OF CONTRIBUTED PAPERS •••••••••••••••••••••••••• 611 INDEX TO ADVERTISERS 667 DORMITORY RESERVATION FORM • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 668 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the cffoliuv was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet- Deadline ing Date Place for No. Abstracts* 658 August 26-30, 1968 Madison, Wisconsin July 1, 1968 (73rd Summer Meeting) 659 October 26, 1968 Baltimore, Maryland Sept. 6, 1968 660 November 8-9, 1968 Clemson, South Carolina Sept. 25, 1968 661 November 16, 1968 Riverside, California Sept. 25, 196E 662 November 29-30, 1968 Evanston, Illinois Sept. 25, 1968 663 January 23-27, 1969 New Orleans, Louisiana Nov. 8, 1968 (75th Annual Meeting) August 25-29, 1969 Eugene, Oregon (74th Summer Meeting) January 22-26, 1970 Miami, Florida (76th Annual Meeting) August 1970 Laramie, Wyoming (75th Summer Meeting) January 21-25, 1971 Atlantic City, New Jersey (77th Annual Meeting) *The abstracts of papers to be presented in person at the meetings must be received in the Head­ quarters Offices of the Society in Providence, Rhode Island, on or before these deadlines. The dead­ lines also apply to news items. The next two deadlines for by-title abstracts will be June 24, 1968, and August 30, 1968, ---- --·--<~·------- The cflolictAJ of the American Mathematical Society is publisiied by the Society in January, February, April, June, August, October, November and December. Price per annual volum!\ is $12.00. Price per copy $3.00. Special price for copies sold at registration desks of meetings of the Society, $1.00 per copy. SUbscriptions, orders for back numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, P.O. Box 6248, Providence, Rhode Island 02904. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August-4, 1947 (Sec. 34,21, P. L. and R.). Accepted for mailing at the special rate of Postage provided for in section 34,40, paragraph (d). · Copyright ©, 1968 by the American Mathematical Society Printed in the United States of America 582 Six Hundred Fifty-Seventh Meeting Reed College Portland, Oregon June 15,1968 The six hundred fifty- seventh meet­ ACCOMMODATIONS ing of the American Mathematical Society will be held on Saturday, June 15, 1968, Dormitory space will be available at Reed College in Portland, Oregon, in at the rate of $2.75 per single room per conjunction with meetings of the Pacific night. Reservations for dormitory rooms Northwest Section of the Mathematical should be sent to ProfessorBurrowes Hunt, Association of America and the Society Department of Mathematics, Reed College, for Industrial and Applied Mathematics. Portland, Oregon 97202. The Association and SIAM will meet on The first two of the following hotels Friday and Saturday, June 14 and 15. and motels are on the east side of Port­ By invitation of the Committee to land (as is Reed College), while the last Select Hour Speakers for Far Western three are in downtown Portland. Sectional Meetings, there will be two hour Rose Manor Motel addresses at this meeting. Professor Single $ 8.00 Double $10.50 William G. Bade of the University of Cali­ Twin 11.50 fornia, Berkeley, will address the Society (These are commercial rates.) at 11:00 a.m. on Saturday in Room 314, Eliot Hall. The title of his lecture is Sheraton Hotel "Sources of equicontinuity in functional Single $ 9.00 - $15.00 analysis." Professor W. A. J. Luxemburg Double 15.50 - 19.00 of the California Institute of Technology (Slightly lower rates are available to fac­ will present a lecture entitled "On some ulty members with a Sheraton ID card.) recent developments in the theory of Riesz Benson Hotel spaces" at 2:00 p.m. on Saturday in Single $12.00 Double $16.00 Room 314, Eliot Hall. Twin 17.00 There will be sessions for con­ (These are faculty rates, requiring only tributed papers at 9:15a.m. and 3:15p.m. personal identification.) in Rooms 200, 314, and 416, Eliot Hall. Late papers may be added to the program. Heathman Hotel Information on late papers and program Single $ 7.50 Double $11.00 changes will be available at the registra­ Twin 12.50 tion desk. (These are faculty rates, requiring only personal identification.) REGISTRATION Hilton Hotel Single $ 9.00 Double $16.00 The registration desk for the meet­ (These are. faculty rates, requiring only ing will be located at the main entrance to personal identification.) Eliot Hall. It will be open from 3:00 to 6:00 p.m. on Thursday, June 13; from MEALS 8:30 a.m. to 5:00 p.m. on Friday, June 14; and from 9:00 a.m. to 12:00 noon on Luncheon will be available in the Saturday, June 15. College Commons on the days of the meet- 583 ings. If enough dormitory reservations are Persons arnvmg by automobile received, breakfast and dinner may also be from the north on Interstate 5 should fol­ served in the Commons. Information con­ low signs toward Oregon City, then break cerning local restaurants will be available off right at the sign to East Moreland and at the registration desk. Reed College. Automobiles from the south on Interstate 5 should exit across the TRAVEL Ross Island Bridge and follow Powell to S. E. 39th, then right on 39th to Wood­ Portland is served by the major stock and right to Reed. Persons driving west coast airlines and railroad lines. from the east on the Columbia River Taxi service from the railroad station to Freeway should exit at about 40th, take a Reed College costs approximately $3,00, sharp right on 46th, right to Gleason, and from the airport the cost is about right to 39th, then left to Woodstock, and $6.50, There is an airport limousine to right to Reed College. all hotels. PROGRAM OF THE SESSIONS The time limit for each contributed paper is 10 minutes, The papers are scheduled at 15 minute in­ tervals in order that listeners can circulate among sessions. To maintain the schedule, the time limit will be strictly enforced. SATURDAY, 9:15A.M. Session on Topology, Room 314, Eliot Hall 9:15-9:25 ( 1) Some generalizations of the contraction mapping theorem. Preliminary re­ port Professor B. T. Sims, Eastern Washington State College (657-25) 9:30-9:40 (2) On a problem of Borsuk, Preliminary report Professor N. R. Gray, Western Washington State College (657-14) 9:45-9:55 (3) On three problems of Franklin and Wallace Professor L. E. Ward, Jr.•, and Mr. E. D. Tymchatyn, University of Oregon (657-6) 10;00-10:10 ( 4) Regularity for convergence structures Mr. B. V. Hearsey, Washington State University (657-21) (Introduced by Dr. D. C. Kent) 10;15-10:25 ( 5) A representation theorem for uniform convergence structures Professor D. C. Kent, Washington State University (657-16) SATURDAY, 9:15A.M. Session on Number Theory, Room 200, Eliot Hall 9:15-9:25 (6) The parity of the integer (2n- 2):/n:(n- 1): Mr. D. M. Silberger, Western Washington State College (657-7) *For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. 584 9:30-9:40 ( 7) Prime divisors of the binomial coefficient Mr. E. F. Ecklund, Jr., Western Washington State College (657-11) (Introduced by Professor M. L. Faulkner) 9:45-9:55 (8) "Decimal" expansions to negative bases Professor C. T. Long, Washington State University (657-5) 10:00-10:10 (9) The distribution on quadratic residues in fields of order p2 Professor J. H. jordan*, Washington State University, and Mr. N. R. Hardman, Harvard University ( 657-4) 10:15-10:25 ( 10) Pisot sequences and Pisot-Vijayaraghavan numbers. Preliminary report Mr. M. J. DeLeon, Pennsylvania State University (657-15) SATURDAY, 9:15A.M. Session on Analysis, Room 416, Eliot Hall 9:15-9:25 ( 11) A note on mini-gaps Dr. B. G. Eke, University of California, San Diego (657-18) (Introduced by Professor S. E. Warschawski) 9:30-9:40 (12) Bounds for the number of deficient values of entire functions whose zeros have angular densities Professor Ki Ghoul Oum, State University College at Buffalo (657-19) 9:45-9:55 ( 13) Reduction of order for a system of differential equations at a turning po-int. Preliminary report Dr. R. Y. Lee, University of Minnesota (657-22) 10:00-10:10 ( 14) Lower bounds for the essential spectrum of fourth order differential opera­ tors Mr. Kurt Kreith, University of California, Davis ( 657-3) 10:15-10:25 (15) A theorem relating generalized Hankel and Whittaker transforms.
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