q-series and tails of colored Jones polynomials

Paul Beirne; Robert Osburn

q-series and tails of colored Jones polynomials

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arxiv 1601.05577 v2 pith:PQZDOAWZ submitted 2016-01-21 math.NT math.COmath.QA

Paul Beirne , Robert Osburn This is my paper · ORCID

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keywords coloredidentitiesjonespolynomialsq-seriestailsalternatingconcerning

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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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