On a pair of identities from Ramanujan's lost notebook

Authors

• James McLaughlin, West Chester University of PennsylvaniaFollow
• Andrew Sills, Georgia Southern University

Document Type

Article

Publication Date

2012

Abstract

Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immediately implies an infinite family of Rogers-Ramanujan type identities, some of which are well-known identities from the literature. We also use these identities to derive some general identities for integer partitions.

Comments

Preprint version is available here.

Publication Title

Annals of Combinatorics

Recommended Citation

McLaughlin, J., & Sills, A. (2012). On a pair of identities from Ramanujan's lost notebook. Annals of Combinatorics, 16(3), 591-607. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/74