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arXiv · 2510.17209

On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities

Dandan Chen·Tianjian Xu
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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.

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Dandan Chen, Tianjian Xu. 2026-04-18. On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities. https://doi.org/10.3842/sigma.2026.038

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