Dedekind \(\eta\)-function identities of level 6 and an approach towards colored partitions

DOI10.1007/s40590-021-00389-1zbMath1478.11065OpenAlexW3202729647MaRDI QIDQ825125

Shruthi, B. R. Srivatsa Kumar

Publication date: 17 December 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00389-1

zbMATH Keywords

theta functionsDedekind \(\eta\)-functionmodular equationscolored partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Dedekind eta function, Dedekind sums (11F20)

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
• On modular relations for the Göllnitz-Gordon functions with application to partitions
• On some of Ramanujan's Schläfli-type ``mixed modular equations.
• Modular equations for Ramanujan's cubic continued fraction
• Partition identities arising from Somos's theta function identities
• On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
• New modular equations in the spirit of Ramanujan
• On the \(q\)-analog of the Laplace transform
• On Somos's theta-function identities of level 14
• On a \(q\)-analog of the Baskakov basis functions
• Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions
• Theta function identities of level 6 and their application to partitions
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