ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES

DOI10.1142/S1793042105000017zbMath1081.33034OpenAlexW2074050431MaRDI QIDQ5316932

Say Tiong Ng, Heng Huat Chan, Zhi-Guo Liu

Publication date: 15 September 2005

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042105000017

zbMATH Keywords

Elliptic functionsproduct identities

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Elliptic functions and integrals (33E05)

Related Items (6)

THE QUINTUPLE PRODUCT IDENTITY ⋮ Ramanujan's Eisenstein series and powers of Dedekind's eta-function ⋮ Winquist's identity and Ramanujan's partition congruence \(p(11n+6)\equiv 0 \pmod {11}\) ⋮ GENERALIZED mth ORDER JACOBI THETA FUNCTIONS AND THE MACDONALD IDENTITIES ⋮ A new proof of the septuple product identity ⋮ ON THE SCHRÖTER FORMULA FOR THETA FUNCTIONS

Cites Work

• A new proof of Windquist's identity
• Cranks and dissections in Ramanujan's lost notebook
• A theta function identity and its implications
• An elementary proof of p(11m+6)≡0 (mod 11)
• Residue theorem and theta function identities

This page was built for publication: ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES