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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11491
Title: An inequality between finite analogues of rank and Crank moments
Authors: Eyyunni, Pramod
Keywords: Mathematics
Issue Date: Aug-2019
Publisher: ARXIV
Abstract: The inequality between rank and crank moments was conjectured and later proved by Garvan himself in 2011. Recently, Dixit and the authors introduced finite ana- logues of rank and crank moments for vector partitions while deriving a finite analogue of Andrews’ famous identity for smallest parts function. In the same paper, they also con- jectured an inequality between finite analogues of rank and crank moments, analogous to Garvan’s conjecture. In the present paper, we give a proof of this conjecture
URI: https://arxiv.org/pdf/1908.08660
http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11491
Appears in Collections:Department of Mathematics

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