OFFICIAL COMMUNICATIONS Meetings of the Society have been fixed at the following times and places:

CAMBRIDGE, MASSACHUSETTS, ANNUAL MEETING, December 27-29, 1933. This meeting is to be held in conjunction with the A.A.A.S. and the M.A.A. There will be a symposium on General Analysis; the principal address will be by Professor T. H. Hildebrandt, and Professors R. W. Barnard and M. H. Stone will also present papers, by invitation. The Bôcher Prize will be awarded.

The usual February Meeting in New York City will be omitted.

NEW YORK CITY, March 30-31, 1934. Abstracts must be in the hands of Associate Secretary J. R. Kline, 501 West 116th St., New York City, not later than March 9. Abstracts received by the Secretaries by that date will appear in the March issue of the BULLETIN. By invitation of the program committee, there will be a symposium on , under the leadership of Professors A. B. Coble, , , and Virgil Snyder.

CHICAGO, ILLINOIS, April 6-7, 1934. Abstracts must be in the hands of Associate Secretary M. H. Ingraham, University of Wisconsin, Madison, Wis., not later than March 9. Ab­ stracts received by the Secretaries by that date will appear in the March issue of the BULLETIN. At this meeting, Professor R. E. Langer will give an address on The asymptotic solution of linear ordinary differential equations.

BERKELEY, CALIFORNIA, June 20, 1934. Abstracts must be in the hands of Associate Secretary T. M. Putnam, University of California, Berkeley, Calif., not later than May 30. Ab­ stracts received by the Secretaries by May 6 will appear in the May issue of the BULLETIN. R. G. D. RICHARDSON, Secretary of the Society,

Articles for insertion in the BULLETIN should be addressed to E. R. HEDRICK, Editor of the BULLETIN, University of California at Los An­ geles. Reviews should be sent to W. R. LONGLEY, Yale University, New Haven, Conn. Notes should be sent to H. W. KUHN, Ohio State Uni­ versity, Columbus, Ohio. Subscriptions to the BULLETIN, orders for back numbers, and in­ quiries in regard to non-delivery of current numbers should be addressed to the American Mathematical Society, 450-459 Ahnaip St., Menasha, Wis., or 501 West 116th St., New York. The initiation fees and the annual dues of members of the Society (see this BULLETIN, p. 322, May, 1930; and the List of Officers ana Members, September, 1932, p. 66), are payable to the Treasurer of the Society, Professor G. W. Mullins, 501 West 116th St., New York City.

License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use WHOLE NUMBER 411

CONTENTS

PAGE Certain Problems of Closest Approximation. By DUN­ HAM JACKSON 889 On the Use of Cesàro Means in Determining Criteria for Fourier Constants. By C. N. MOORE 907 An Integral Equation with Symmetric Kernels. By T. S. PETERSON 914 On a Covariant Differentiation Process: Paper II. By H. V. CRAIG 919 On the Element of Decomposition of a Doubly Periodic Function of the Second Kind. By M. A. BASOCO. . . . 923 On Double Riemann-Stieltjes Integrals. By J. A. CLARK- SON 929 Similar Sequences. By E. T. BELL 937 The Diophantine Equation x^cii + X2X3a2 + • • • + xnxn+ian = d. By E. J. FINAN 944 On Continued Fractions which Represent Meromorphic Functions. By H. S. WALL 946 Some new Theorems on Limits of Variation. By R. L. PEEK, JR 953 Characteristics of Multiple Curves and their Residuals. By T. R. HOLLCROFT 959 On Cubic Congruences. By H. R. BRAHANA 962 The Algebra of Self-Ad joint Boundary-Value Problems. By V. V. LATSHAW 969 Kojima on Double Dirichlet Series. By C. R. ADAMS. .. 979 A Census of Squares of Order 4, Magic in Rows, Columns, and Diagonals. By D. N. LEHMER 981 Forty-Second Annual List of Papers 983 Index of Volume XXXIX 1000

For official Communications and Notices, see the inside of the back cover,

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