Multi-sum Rogers-Ramanujan Type Identities
Number Theory
2023-01-12 v3 Classical Analysis and ODEs
Combinatorics
Abstract
We use an integral method to establish a number of Rogers-Ramanujan type identities involving double and triple sums. The key step for proving such identities is to find some infinite products whose integrals over suitable contours are still infinite products. The method used here is motivated by Rosengren's proof of the Kanade-Russell identities.
Cite
@article{arxiv.2205.12786,
title = {Multi-sum Rogers-Ramanujan Type Identities},
author = {Zhineng Cao and Liuquan Wang},
journal= {arXiv preprint arXiv:2205.12786},
year = {2023}
}
Comments
24 pages