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

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

doi:10.1155/2021/6614572

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

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

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Article number	6614572
Journal	Journal of Applied Mathematics
Volume	2021
DOIs	https://doi.org/10.1155/2021/6614572
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Relation between Borweins' Cubic Theta Functions and Ramanujan's Eisenstein Series",

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. ",

author = "Kumar, \{B. R.Srivatsa\} and Shruthi and Radha, \{D. Anu\}",

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T1 - Relation between Borweins' Cubic Theta Functions and Ramanujan's Eisenstein Series

AU - Kumar, B. R.Srivatsa

AU - Shruthi,

AU - Radha, D. Anu

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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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UR - https://www.scopus.com/pages/publications/85107158578#tab=citedBy

U2 - 10.1155/2021/6614572

DO - 10.1155/2021/6614572

M3 - Article

AN - SCOPUS:85107158578

SN - 1110-757X

VL - 2021

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

M1 - 6614572

ER -

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

Abstract

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