English

Some extensions for Ramanujan's circular summation formula

Number Theory 2019-01-29 v1

Abstract

In this paper, we give some extensions for Ramanujan's circular summation formula with the mixed products of two Jacobi's theta functions. As some applications, we also obtain many interesting identities of Jacobi's theta functions.

Keywords

Cite

@article{arxiv.1901.09820,
  title  = {Some extensions for Ramanujan's circular summation formula},
  author = {Ji-Ke Ge and Qiu-Ming Luo},
  journal= {arXiv preprint arXiv:1901.09820},
  year   = {2019}
}

Comments

20 pages

R2 v1 2026-06-23T07:24:22.987Z