Title

On a Pair of Identities from Ramanujan's Lost Notebook

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.

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