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

B. R. Srivatsa Kumar; Shruthi; D. Anu Radha

doi:10.1155/2021/6614572

2021 Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series

B. R. Srivatsa Kumar, Shruthi, D. Anu Radha

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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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B. R. Srivatsa Kumar. Shruthi. D. Anu Radha. "Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series." J. Appl. Math. 2021 1 - 6, 2021. https://doi.org/10.1155/2021/6614572

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Received: 25 November 2020; Accepted: 15 April 2021; Published: 2021

First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/6614572

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