The first positive rank and crank moments for overpartitions
|Title:||The first positive rank and crank moments for overpartitions||Authors:||Andrews, George
Chan, Song Heng
|Permanent link:||http://hdl.handle.net/10197/7951||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:||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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