New modular equations in the spirit of Ramanujan

DOI10.1007/s11139-012-9399-1zbMath1285.11032OpenAlexW2044047879MaRDI QIDQ1927661

Boonrod Yuttanan

Publication date: 2 January 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9399-1

zbMATH Keywords

partitionsmodular equationscolored partitionstheta-functionseta-functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27)

Related Items (12)

Some Somos’s theta function identities of level 6 and application to partitions ⋮ Dedekind \(\eta\)-function identities of level 6 and an approach towards colored partitions ⋮ On Somos's theta-function identities of level 14 ⋮ Unnamed Item ⋮ Partition identities arising from Somos's theta function identities ⋮ Somos's theta-function identities of level 10 ⋮ Certain Somos's \(P-Q\) type Dedekind \({\eta}\)-function identities ⋮ New theta-function identities of level 6 in the spirit of Ramanujan ⋮ Theta-function identities of level 8 and its application to partitions ⋮ New proof to Somos's Dedekind eta-function identities of level 10 ⋮ Theta function identities of level 6 and their application to partitions ⋮ New approach to Somos’s Dedekind eta-function identities of level 6

Cites Work

• On some of Ramanujan's Schläfli-type ``mixed modular equations.
• Modular equations for Ramanujan's cubic continued fraction
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