Article ID Journal Published Year Pages File Type
8896855 Journal of Number Theory 2018 13 Pages PDF
Abstract
In this paper, we establish the non-negativity of the spt-crank for partitions without repeated odd parts which was first conjectured by Garvan and Jennings-Shaffer. As corollaries, we prove inequalities between the positive rank and crank moments of such partitions.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the non-negativity of the spt-crank for partitions without repeated odd parts
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