Show simple item record Bringmann, Kathrin Lovejoy, Jeremy Osburn, Robert 2016-09-16T11:13:34Z 2016-09-16T11:13:34Z 2008 Elsevier en 2009-07
dc.identifier.citation Journal of Number Theory en
dc.description.abstract We study two types of crank moments and two types of rank moments for overpartitions. We show that the crank moments and their derivatives, along with certain linear combinations of the rank moments and their derivatives, can be written in terms of quasimodular forms. We then use this fact to prove exact relations involving the moments as well as congruence properties modulo 3, 5, and 7 for some combinatorial functions which may be expressed in terms of the second moments. Finally, we establish a congruence modulo 3 involving one such combinatorial function and the Hurwitz class number H(n). en
dc.language.iso en en
dc.publisher Elsevier en
dc.rights This is the author’s version of a work that was accepted for publication in Rank and crank moments for overpartitions. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Rank and crank moments for overpartitions (VOL 129, ISSUE 7, (2008)) DOI: 10.1016/j.jnt.2008.10.017. en
dc.subject Holomorphic modular forms of integral weight en
dc.subject Partitions en
dc.subject Congruences en
dc.subject Congruential restrictions en
dc.title Rank and crank moments for overpartitions en
dc.type Journal Article en
dc.status Peer reviewed en
dc.identifier.volume 129 en
dc.identifier.issue 7 en
dc.identifier.startpage 1758 en
dc.identifier.endpage 1772 en
dc.identifier.doi 10.1016/j.jnt.2008.10.017
dc.neeo.contributor Bringmann|Kathrin|aut|
dc.neeo.contributor Lovejoy|Jeremy|aut|
dc.neeo.contributor Osburn|Robert|aut|
dc.description.othersponsorship National Science Foundation en
dc.description.othersponsorship PHC Ulysses grant en
dc.internal.rmsid 131741790 2016-08-10T13:08:38Z

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