A new proof of Windquist's identity

DOI10.1006/jcta.1996.2781zbMath0944.11033OpenAlexW2002761994MaRDI QIDQ1356047

Soon-Yi Kang

Publication date: 20 September 2000

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1996.2781

zbMATH Keywords

partitionscongruencesJacobi triple product identityWinquist's identityquintuple product identitiesJFM 47.0885.01

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items (11)

SOME INVERSE RELATIONS AND THETA FUNCTION IDENTITIES ⋮ THE QUINTUPLE PRODUCT IDENTITY ⋮ Ramanujan's Eisenstein series and powers of Dedekind's eta-function ⋮ ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES ⋮ Ramanujan-style proof of \(p_{-3}(11n+7) \equiv 0 \pmod{11}\) ⋮ An addition formula for the Jacobian theta function and its applications ⋮ Ramanujan-type congruences for ℓ-regular partitions modulo 3, 5, 11 and 13 ⋮ Winquist's identity and Ramanujan's partition congruence \(p(11n+6)\equiv 0 \pmod {11}\) ⋮ Uniform proofs of \(q\)-series-product identities ⋮ Unnamed Item ⋮ Lattice path combinatorics for multiple product identities

Cites Work

• On a combinatorial identity of Winquist and its generalization
• Affine root systems and Dedekind's \(\eta\)-function
• Sign Variations of the Macdonald Identities
• An elementary proof of p(11m+6)≡0 (mod 11)
• Unnamed Item
• Unnamed Item

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