The odd moments of ranks and cranks

In this paper, we modify the standard definition of moments of ranks and cranks such that odd moments no longer trivially vanish. Denoting the new k-th rank (resp. crank) moments by (resp. ), we prove the following inequality between the first rank and crank moments.

Saved in:

Bibliographic Details
Main Authors:	Chan, Song Heng, Kim, Byungchan, Andrews, George E.
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2013
Subjects:	DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
Online Access:	https://hdl.handle.net/10356/98565 http://hdl.handle.net/10220/17801
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-98565
record_format	dspace
spelling	sg-ntu-dr.10356-985652020-03-07T12:31:22Z The odd moments of ranks and cranks Chan, Song Heng Kim, Byungchan Andrews, George E. School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics In this paper, we modify the standard definition of moments of ranks and cranks such that odd moments no longer trivially vanish. Denoting the new k-th rank (resp. crank) moments by (resp. ), we prove the following inequality between the first rank and crank moments. 2013-11-20T01:32:33Z 2019-12-06T19:56:56Z 2013-11-20T01:32:33Z 2019-12-06T19:56:56Z 2013 2013 Journal Article Andrews, G. E., Chan, S. H., & Kim, B. (2013). The odd moments of ranks and cranks. Journal of Combinatorial Theory, Series A, 120(1), 77-91. 0097-3165 https://hdl.handle.net/10356/98565 http://hdl.handle.net/10220/17801 10.1016/j.jcta.2012.07.001 en Journal of combinatorial theory, Series A © 2013 Elsevier B.V.
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
spellingShingle	DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics Chan, Song Heng Kim, Byungchan Andrews, George E. The odd moments of ranks and cranks
description	In this paper, we modify the standard definition of moments of ranks and cranks such that odd moments no longer trivially vanish. Denoting the new k-th rank (resp. crank) moments by (resp. ), we prove the following inequality between the first rank and crank moments.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Chan, Song Heng Kim, Byungchan Andrews, George E.
format	Article
author	Chan, Song Heng Kim, Byungchan Andrews, George E.
author_sort	Chan, Song Heng
title	The odd moments of ranks and cranks
title_short	The odd moments of ranks and cranks
title_full	The odd moments of ranks and cranks
title_fullStr	The odd moments of ranks and cranks
title_full_unstemmed	The odd moments of ranks and cranks
title_sort	odd moments of ranks and cranks
publishDate	2013
url	https://hdl.handle.net/10356/98565 http://hdl.handle.net/10220/17801
_version_	1681046786741895168

The odd moments of ranks and cranks

Similar Items