Some Somos’s theta function identities of level 6 and application to partitions

DOI10.2298/PIM2022137SzbMath1499.11191MaRDI QIDQ5031147

B. R. Srivatsa Kumar, G. Sharath

Publication date: 18 February 2022

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

zbMATH Keywords

partitionstheta functionsmodular equation

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Theta series; Weil representation; theta correspondences (11F27) Elementary theory of partitions (11P81)

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
• 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
• Theta function identities of level 6 and their application to partitions
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