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

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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number6614572
JournalJournal of Applied Mathematics
Volume2021
DOIs
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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