Rogers-Ramanujan type identities for alternating knots

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Title: Rogers-Ramanujan type identities for alternating knots
Authors: Keilthy, AdamOsburn, Robert
Permanent link: http://hdl.handle.net/10197/7950
Date: Apr-2016
Online since: 2018-04-16T01:00:11Z
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, Lê and Zagier.
Type of material: Journal Article
Publisher: Elsevier
Journal: Journal of Number Theory
Volume: 161
Start page: 255
End page: 280
Copyright (published version): 2015 Elsevier
Keywords: Q-series identitiesQ-Series transformationsBailey pairsAlternating knots
DOI: 10.1016/j.jnt.2015.02.002
Language: en
Status of Item: Peer reviewed
This item is made available under a Creative Commons License: https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Appears in Collections:Mathematics and Statistics Research Collection

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