Rogers-Ramanujan type identities for alternating knots
Number Theory
2021-02-04 v2 Combinatorics
Quantum Algebra
Abstract
We highlight the role of q-series techniques in proving identities arising from knot theory. In particular, we prove Rogers-Ramanujan type identities for alternating knots as conjectured by Garoufalidis, Le and Zagier.
Keywords
Cite
@article{arxiv.1407.3482,
title = {Rogers-Ramanujan type identities for alternating knots},
author = {Adam Keilthy and Robert Osburn},
journal= {arXiv preprint arXiv:1407.3482},
year = {2021}
}
Comments
26 pages, typos corrected, to appear in the Journal of Number Theory, Special Issue dedicated to Winnie Li