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Physical Sciences and Mathematics

2010

Georgia Southern University

Zuckerman formula

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Rademacher-Type Formulas For Partitions And Overpartitions, Andrew Sills Jan 2010

Rademacher-Type Formulas For Partitions And Overpartitions, Andrew Sills

Department of Mathematical Sciences Faculty Publications

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 ϑ4_0 | τ_−1 is presented.