On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities
Combinatorics
2026-04-21 v5
Abstract
We establish some new bilateral double-sum Rogers-Ramanujan identities involving parameters. As applications, these identities yield several new multi-sum Rogers-Ramanujan type identities. Our proofs utilize the theory of basic hypergeometric series in conjunction with the integral method.
Cite
@article{arxiv.2510.17209,
title = {On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities},
author = {Dandan Chen and Tianjian Xu},
journal= {arXiv preprint arXiv:2510.17209},
year = {2026}
}