Mathematical Sciences: Faculty Publications
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.
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
Copyright
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