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arXiv · 1407.3482

Rogers-Ramanujan type identities for alternating knots

Adam Keilthy·Robert Osburn
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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.

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Adam Keilthy, Robert Osburn. 2014-07-13. Rogers-Ramanujan type identities for alternating knots. https://doi.org/10.1016/j.jnt.2015.02.002

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