A Rademacher type formula for partitions and overpartitions

Andrew V. Sills

doi:10.1155/2010/630458

A Rademacher type formula for partitions and overpartitions

Andrew V. Sills

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English
Article number	630458
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2010
DOIs	https://doi.org/10.1155/2010/630458
State	Published - 2010

Scopus Subject Areas

Mathematics (miscellaneous)

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title = "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 θ4(0|τ)-1 is presented.",

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journal = "International Journal of Mathematics and Mathematical Sciences",

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AB - 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.

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DO - 10.1155/2010/630458

M3 - Article

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VL - 2010

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

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ER -

A Rademacher type formula for partitions and overpartitions

Abstract

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