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