A New Identity for (q;q) 10 with an Application to Ramanujan's Partition Congruence Modulo 11
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Publication:4822281
DOI10.1093/qmath/hag038zbMath1060.11063OpenAlexW2031703469MaRDI QIDQ4822281
Song Heng Chan, Hamza Yesilyurt, Zhi-Guo Liu, Bruce C. Berndt
Publication date: 25 October 2004
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/hag038
Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11)
Related Items (14)
Rational analogues of Ramanujan's series for 1/π ⋮ Ramanujan's Eisenstein series and powers of Dedekind's eta-function ⋮ A simple proof of an expansion of an eta-quotient as a Lambert series ⋮ A theta function identity and its implications ⋮ Ramanujan-style proof of \(p_{-3}(11n+7) \equiv 0 \pmod{11}\) ⋮ The products of three theta functions and the general cubic theta functions ⋮ An addition formula for the Jacobian theta function and its applications ⋮ Another elementary proof that \(p(11n+6)\equiv 0\pmod{11}\) ⋮ Winquist's identity and Ramanujan's partition congruence \(p(11n+6)\equiv 0 \pmod {11}\) ⋮ Congruences for Fourier coefficients of eta‐quotients modulo powers of 5, 7, 11, 13, and 17 ⋮ Fractional powers of the generating function for the partition function ⋮ A three-term theta function identity and its applications ⋮ ON GENERAL SERIES-PRODUCT IDENTITIES ⋮ Triple product identity, Quintuple product identity and Ramanujan’s differential equations for the classical Eisenstein series
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