| dc.description.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 |
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