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).

Comments

Preprint version is available here.

Publication Title

The Ramanujan Journal

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