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, 1-6

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 ( , )- parametrization in terms of Borweins’ theta functions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:6614572

DOI: 10.1155/2021/6614572

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