The first positive rank and crank moments for overpartitions

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Title: The first positive rank and crank moments for overpartitions
Authors: Andrews, George
Chan, Song Heng
Kim, Byungchan
Osburn, Robert
Permanent link: http://hdl.handle.net/10197/7951
Date: Jun-2016
Abstract: In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also holds for the first rank and crank moments of overpartitions and consider a new combinatorial interpretation in this setting.
Type of material: Journal Article
Publisher: Springer
Copyright (published version): 2016 Springer International Publishing
Keywords: Overpartitions;Ranks;Cranks;Positive moments;Positivity
DOI: 10.1007/s00026-016-0306-0
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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