English

Rogers-Ramanujan Type Identities Involving Double Sums

Number Theory 2024-11-20 v8

Abstract

We prove four new Rogers-Ramanujan-type identities for double series. They follow from the classical Rogers-Ramanujan identities using the constant term method and properties of Rogers-Szeg\H{o} polynomials.

Keywords

Cite

@article{arxiv.2408.00377,
  title  = {Rogers-Ramanujan Type Identities Involving Double Sums},
  author = {Dandan Chen and Siyu Yin},
  journal= {arXiv preprint arXiv:2408.00377},
  year   = {2024}
}
R2 v1 2026-06-28T18:00:13.944Z