Article ID Journal Published Year Pages File Type
6415554 Journal of Number Theory 2013 25 Pages PDF
Abstract

In 1954, A.O.L. Atkin and H.P.F. Swinnerton-Dyer established the generating functions for rank differences modulo 5 and 7 for partition functions. In this paper, we derive formulas for the generating functions of ranks of partitions modulo 10 and some inequalities between them.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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