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Rademacher-Type Formulas For Restricted Partition And Overpartition Functions, Andrew Sills
Rademacher-Type Formulas For Restricted Partition And Overpartition Functions, Andrew Sills
Department of Mathematical Sciences Faculty Publications
A collection of Hardy-Ramanujan-Rademacher type formulas for restricted partition and overpartition functions is presented, framed by several biographical anecdotes.
Some More Identities Of Rogers-Ramanujan Type, Douglas Bowman, James Mclaughlin, Andrew Sills
Some More Identities Of Rogers-Ramanujan Type, Douglas Bowman, James Mclaughlin, Andrew Sills
Department of Mathematical Sciences Faculty Publications
In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.