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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 630458, 21 pages
doi:10.1155/2010/630458

A Rademacher type formula for partitions and overpartitions

Andrew V. Sills

Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460-8093, USA

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 ϑ4(0∣τ)-1 is presented.