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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Triple product identity, Quintuple product identity and Ramanujan's differential equations for the classical Eisenstein series


Author: Heng Huat Chan
Journal: Proc. Amer. Math. Soc. 135 (2007), 1987-1992
MSC (2000): Primary 14K25
Published electronically: March 2, 2007
MathSciNet review: 2299470
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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.


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Additional Information

Heng Huat Chan
Affiliation: Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543
Email: matchh@nus.edu.sg

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08723-0
PII: S 0002-9939(07)08723-0
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
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.