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arXiv · 1901.05326

On a pair of identities from Ramanujan's lost notebook

James Mc Laughlin·Andrew V. Sills
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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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James Mc Laughlin, Andrew V. Sills. 2019-01-06. On a pair of identities from Ramanujan's lost notebook. https://doi.org/10.1007/s00026-012-0148-3

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