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

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

Journal of Applied Mathematics, 2021, vol. 2021, issue 1

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.

Date: 2021
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https://doi.org/10.1155/2021/6614572

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2021:y:2021:i:1:n:6614572

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