On a pair of identities from Ramanujan's lost notebook
arXiv:1901.05326 · doi:10.1007/s00026-012-0148-3
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.
17 pages