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  5. 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
Subjects

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/
File(s)
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Name

RRknots8.pdf

Size

179.33 KB

Format

Adobe PDF

Checksum (MD5)

9e0d5cb8f17dd51c2f14eed77cf41ba1

Owning collection
Mathematics and Statistics Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
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