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An elementary derivation of the asymptotics of partition functions

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Publication:850515
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DOI10.1007/s11139-006-5307-xzbMath1151.11052OpenAlexW2053077127MaRDI QIDQ850515

Daniel M. Kane

Publication date: 3 November 2006

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

Full work available at URL: https://doi.org/10.1007/s11139-006-5307-x


zbMATH Keywords

Asymptotic formulasPartition functions


Mathematics Subject Classification ID

Analytic theory of partitions (11P82)


Related Items (6)

Khinchin families and Hayman class ⋮ Operators without eigenvalues in finite-dimensional vector spaces ⋮ Finite Gelfand pairs and cracking points of the symmetric groups ⋮ On the zeros of a class of modular functions ⋮ On number of partitions of an integer into a fixed number of positive integers ⋮ On the number of conjugate classes of derangements



Cites Work

  • A simplified proof of the partition formula
  • Asymptotische Aussagen über Partitionen
  • Über Partitionen mit Differenzenbedingungen
  • On an elementary proof of some asymptotic formulas in the theory of partitions
  • A Tauberian theorem for partitions


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