Ramanujan's Eisenstein series of level 7 and 14

Vasuki, K. R. and Veeresha, R. G. (2016) Ramanujan's Eisenstein series of level 7 and 14. Journal of Number Theory, 159. 59 - 75.

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Official URL: https://doi.org/10.1016/j.jnt.2015.07.019

Abstract

In this paper, we give an elementary proof of Ramanujan's Eisenstein series of level 7. In the process, we also prove four Eisenstein series of level 14 due to S. Cooper and D. Ye 4.

Item Type: Article
Uncontrolled Keywords: Dedekind eta-function, Theta-functions, Eisenstein series, Bilateral basic hypergeometric series
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: Manjula P Library Assistant
Date Deposited: 12 Jun 2019 06:05
Last Modified: 12 Jun 2019 06:05
URI: http://eprints.uni-mysore.ac.in/id/eprint/2980

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