Rishabh.SarmaAffiliation: The Pennsylvania State University Title Of Talk: Overpartition rank and crank differences in terms of Dedekind eta-quotients Abstract: In this talk, we present new identities for some overpartition rank and crank differences modulo p, where p is a prime congruent to 3 modulo 4, purely in terms of eta products, which are weakly holomorphic modular forms on Gamma0(2p) with real character. We also present new identities for some partition rank and crank differences modulo prime p, which are weakly holomorphic modular forms on Gamma0(p) with real character. This is joint work with Frank Garvan.
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