A Rademacher type formula for partitions and overpartitions

DOI10.1155/2010/630458zbMath1197.40002arXiv1312.0696OpenAlexW2064616320WikidataQ58651381 ScholiaQ58651381MaRDI QIDQ963563

Andrew V. Sills

Publication date: 20 April 2010

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0696

zbMATH Keywords

number of partitionsFourier coefficientsseries representationHardy-Ramanujan-Rademacher formulaZuckerman formula

Mathematics Subject Classification ID

Approximation to limiting values (summation of series, etc.) (40A25) Partition identities; identities of Rogers-Ramanujan type (11P84) Representation functions (11B34)

Related Items (8)

Limits of Jensen polynomials for partitions and other sequences ⋮ Log-concavity of the overpartition function ⋮ Rademacher-type formulas for restricted partition and overpartition functions ⋮ Polynomization of the Liu-Zhang inequality for the overpartition function ⋮ Higher order log-concavity of the overpartition function and its consequences ⋮ A Hardy-Ramanujan-Rademacher-type formula for \((r,s)\)-regular partitions ⋮ On a nonlinear relation for computing the overpartition function ⋮ A Rademacher-type formula for \(pod(n)\)

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