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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A proof of a functional equation related to the theory of partitions.
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by Shô Iseki PDF
Proc. Amer. Math. Soc. 12 (1961), 502-505 Request permission
References
  • T. M. Apostol, On the Lerch zeta function, Pacific J. Math. 1 (1951), 161–167. MR 43843, DOI 10.2140/pjm.1951.1.161
  • Shô Iseki, The transformation formula for the Dedekind modular function and related functional equations, Duke Math. J. 24 (1957), 653–662. MR 91301
  • Shô Iseki, A partition function with some congruence condition, Amer. J. Math. 81 (1959), 939–961. MR 108473, DOI 10.2307/2372997
  • H. Rademacher, Zur Theorie der Modulfunktionen, J. Reine Angew. Math. vol. 167 (1932) pp. 312-336.
  • E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions; Reprint of the fourth (1927) edition. MR 1424469, DOI 10.1017/CBO9780511608759
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 12 (1961), 502-505
  • MSC: Primary 10.48
  • DOI: https://doi.org/10.1090/S0002-9939-1961-0125098-5
  • MathSciNet review: 0125098