New modular relations for the Göllnitz-Gordon functions.
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Publication:1599573
DOI10.1006/jnth.2001.2708zbMath1059.11020OpenAlexW2062301164MaRDI QIDQ1599573
Publication date: 11 June 2002
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.2001.2708
Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83)
Related Items (14)
THE 8-DISSECTION OF THE RAMANUJAN–GÖLLNITZ–GORDON CONTINUED FRACTION BY AN ITERATIVE METHOD ⋮ On rational matrix exact covering systems of \(\mathbb{Z}^n\) and its applications to Ramanujan's forty identities ⋮ ON THE SERIES EXPANSION OF THE GÖLLNITZ–GORDON CONTINUED FRACTION ⋮ Analogues of Ramanujan's partition identities ⋮ New modular relations involving cubes of the Göllnitz-Gordon functions ⋮ Some modular relations analogues to the Ramanujan's forty identities with its applications to partitions ⋮ Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions ⋮ Some new proofs of modular relations for the Göllnitz-Gordon functions ⋮ Some modular relations for the Göllnitz-Gordon functions by an even-odd method ⋮ Modular relations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions ⋮ Some modular relations for the Göllnitz-Gordon functions and Ramanujan's modular equations ⋮ A sextuple product identity with applications ⋮ Certain Somos's \(P-Q\) type Dedekind \({\eta}\)-function identities ⋮ Several identities for certain products of theta functions
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