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Triple product identity, Quintuple product identity and Ramanujan's differential equations for the classical Eisenstein series
Author(s):
Heng Huat
Chan
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1987-1992.
MSC (2000):
Primary 14K25
Posted:
March 2, 2007
MathSciNet review:
2299470
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Additional information
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
Email:
matchh@nus.edu.sg
DOI:
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
Posted:
March 2, 2007
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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