A Hardy-Ramanujan-Rademacher-type formula for (r,s)-regular partitions

Authors

James McLaughlin, West Chester University of PennsylvaniaFollow
Scott Parsell, West Chester University of PennsylvaniaFollow

Document Type

Article

Publication Date

2012

Abstract

Let pr,s(n) denote the number of partitions of a positive integer n into parts containing no multiples of r or s, where r > 1 and s > 1 are square-free, relatively prime integers. We use classical methods to derive a Hardy-Ramanujan-Rademacher-type infinite series for pr,s(n).

Publication Title

The Ramanujan Journal

ISSN

1382-4090

Publisher

Springer

Volume

28

Issue

2

First Page

253

Last Page

271

Comments

Preprint version is available here.

Recommended Citation

McLaughlin, J., & Parsell, S. (2012). A Hardy-Ramanujan-Rademacher-type formula for (r,s)-regular partitions. The Ramanujan Journal, 28(2), 253-271. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/75