Theta function identities of level 6 and their application to partitions

DOI10.2298/FIL1911323SzbMath1499.11192OpenAlexW2902411609MaRDI QIDQ5863886

B. R. Srivatsa Kumar, K. R. Rajanna, R. Narendra

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1911323s

zbMATH Keywords

Dedekind eta-functionmodular equationscolored partitionstheta-functions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)

Related Items (2)

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

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications 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
• New modular equations in the spirit of Ramanujan
• On Somos's theta-function identities of level 14
• Somos's theta-function identities of level 10
• A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
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