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The quintuple product identity and shifted partition functions

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Publication:1919439
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DOI10.1016/0377-0427(95)00251-0zbMath0867.11071OpenAlexW2026078826MaRDI QIDQ1919439

Krishnaswami Alladi

Publication date: 14 August 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00251-0


zbMATH Keywords

quintuple product identityJacobi triple product identitycongruence conditionsnumber of partitions of an integershifted partition functions


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)


Related Items (3)

THE QUINTUPLE PRODUCT IDENTITY ⋮ Shifted distinct-part partition identities in arithmetic progressions ⋮ SHIFTED AND SHIFTLESS PARTITION IDENTITIES II



Cites Work

  • Unnamed Item
  • Further Problems on Partitions
  • SOME IDENTITIES IN COMBINATORIAL ANALYSIS
  • Some New Observations on the Gollnitz-Gordon and Rogers-Ramanujan Identities
  • On the Geometry of Numbers in Elementary Number Theory
  • A Simple Proof of the Quintuple Product Identity


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