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.

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