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

Document Type

Article

Publication Title

Journal of Applied Mathematics

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.

DOI

10.1155/2021/6614572

Publication Date

1-1-2021

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