New proofs of the septic Rogers-Ramanujan identities
Number Theory
2024-03-25 v2 Classical Analysis and ODEs
Combinatorics
Abstract
We give new proofs of the twelve Rogers-Ramanujan-type identities due to Rogers and Slater that are traditionally associated with the moduli 7, 14 and 28.
Cite
@article{arxiv.2302.02312,
title = {New proofs of the septic Rogers-Ramanujan identities},
author = {Hjalmar Rosengren},
journal= {arXiv preprint arXiv:2302.02312},
year = {2024}
}
Comments
11 pages; minor changes from previous version