A Rademacher Type Formula For Partitions and Overpartitions

preprint2013arXivOpen access

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 $\vartheta_4(0\vert τ)^{-1}$ is presented.

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A Rademacher Type Formula For Partitions and Overpartitions

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