q-series and tails of colored Jones polynomials

Published 21 Jan 2016 in math.NT, math.CO, and math.QA | (1601.05577v2)

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.

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