q-series and tails of colored Jones polynomials
Number Theory
2021-02-04 v2 Combinatorics
Quantum Algebra
Abstract
We extend the table of Garoufalidis, Le and Zagier concerning conjectural Rogers-Ramanujan type identities for tails of colored Jones polynomials to all alternating knots up to 10 crossings. We then prove these new identities using q-series techniques.
Keywords
Cite
@article{arxiv.1601.05577,
title = {q-series and tails of colored Jones polynomials},
author = {Paul Beirne and Robert Osburn},
journal= {arXiv preprint arXiv:1601.05577},
year = {2021}
}
Comments
15 pages, to appear in Indagationes Mathematicae