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Mathematics and Statistics Research Collection
Rogers-Ramanujan type identities for alternating knots
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Rogers-Ramanujan type identities for alternating knots
Author(s)
Keilthy, Adam
Osburn, Robert
Uri
http://hdl.handle.net/10197/7950
Date Issued
2016-04
Date Available
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 identities
Q-Series transformati...
Bailey pairs
Alternating knots
DOI
10.1016/j.jnt.2015.02.002
Language
English
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/
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RRknots8.pdf
Size
179.33 KB
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Mathematics and Statistics Research Collection
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Apr 17, 2024
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