An alternate circular summation formula of theta functions and its applications
Combinatorics
2021-06-29 v1
Abstract
We prove a general alternate circular summation formula of theta functions, which implies a great deal of theta-function identities. In particular, we recover several identities in Ramanujan's Notebook from this identity. We also obtain two formulaes for .
Keywords
Cite
@article{arxiv.2106.14034,
title = {An alternate circular summation formula of theta functions and its applications},
author = {Jun-Ming Zhu},
journal= {arXiv preprint arXiv:2106.14034},
year = {2021}
}
Comments
11 pages,0 figures