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The Rademacher conjecture and \(q\)-partial fractions

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Publication:953254
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DOI10.1007/s11139-007-9080-2zbMath1241.11122OpenAlexW2051224659WikidataQ123362354 ScholiaQ123362354MaRDI QIDQ953254

Augustine O. Munagi

Publication date: 17 November 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9080-2


zbMATH Keywords

cyclotomic polynomialpartial fraction\(q\)-fractionHardy-Ramanujan formulaRademacher conjecture


Mathematics Subject Classification ID

Analytic theory of partitions (11P82)


Related Items (6)

A fast algorithm for computing the number of magic series ⋮ The restricted partition and \(q\)-partial fractions ⋮ Rademacher's infinite partial fraction conjecture is (almost certainly) false ⋮ The combinatorics of MacMahon's partial fractions ⋮ Disproof of a conjecture by Rademacher on partial fractions ⋮ An algebraic approach to \(q\)-partial fractions and Sylvester denumerants



Cites Work

  • Partitions: At the interface of \(q\)-series and modular forms
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