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
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Date: Jun-2016
Online since: 2017-02-02T02:00:11Z
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
Journal: Annals of Combinatorics
Volume: 20
Issue: 2
Start page: 193
End page: 207
Copyright (published version): 2016 Springer International Publishing
Keywords: OverpartitionsRanksCranksPositive momentsPositivity
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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