On a Pair of Identities from Ramanujan's Lost Notebook

Authors

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

Document Type

Article

Publication Date

9-2012

Publication Title

Annals of Combinatorics

DOI

10.1007/s00026-012-0148-3

ISSN

0219-3094

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.

Recommended Citation

McLaughlin, James, Andrew Sills. 2012. "On a Pair of Identities from Ramanujan's Lost Notebook." Annals of Combinatorics, 16 (3): 591-607. doi: 10.1007/s00026-012-0148-3
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/177