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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.

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Triple product identity, Quintuple product identity and Ramanujan’s differential equations for the classical Eisenstein series
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by Heng Huat Chan PDF
Proc. Amer. Math. Soc. 135 (2007), 1987-1992 Request permission

Abstract:

In this article, we use the triple product identity and the quintuple product identity to derive Ramanujan’s famous differential equations for the Eisenstein series.
References
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Additional Information
  • Heng Huat Chan
  • Affiliation: Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543
  • MR Author ID: 365568
  • Email: matchh@nus.edu.sg
  • Received by editor(s): June 27, 2005
  • Received by editor(s) in revised form: December 27, 2005, and March 23, 2006
  • Published electronically: March 2, 2007
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1987-1992
  • MSC (2000): Primary 14K25
  • DOI: https://doi.org/10.1090/S0002-9939-07-08723-0
  • MathSciNet review: 2299470