A Rademacher Type Formula For Partitions and Overpartitions

Abstract

A Rademacher-type convergent series formula which generalizes the Hardy-Ramanujan-Rademacher formula for the number of partitions of $n$ and the Zuckerman formula for the Fourier coefficients of ${\vartheta }_4(0|\tau {)}^{-1}$ is presented.

21 pages

References in corpus (1)

• Overpartitions, lattice paths and Rogers-Ramanujan identities