Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415554 | Journal of Number Theory | 2013 | 25 Pages |
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
Renrong Mao,