Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series

Kumar, Srivatsa B R and Shruthi, . and Radha, Anu D (2021) Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series. Journal of Applied Mathematics and Computing. ISSN 1110-757X

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Abstract

Two-dimensional theta functions were found by the Borwein brothers to work on Gauss and Legendre’s arithmetic-geometric mean iteration. In this paper, some new Eisenstein series identities are obtained by using (p, k)-parametrization in terms of Borweins’ theta functions.

Item Type: Article
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 14 Aug 2021 04:21
Last Modified: 14 Aug 2021 04:21
URI: http://eprints.manipal.edu/id/eprint/157134

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