Certain Somos's \(P-Q\) type Dedekind \({\eta}\)-function identities

DOI10.1007/s12044-018-0422-3zbMath1448.11085OpenAlexW2883377007MaRDI QIDQ1787172

B. R. Srivatsa Kumar, H. C. Vidya

Publication date: 4 October 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0422-3

zbMATH Keywords

theta functionsmodular equationscolored partitionsDedekind \(\eta \)-function

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83) Theta functions and abelian varieties (14K25) Dedekind eta function, Dedekind sums (11F20)

Cites Work

• Ramanujan's identities for Eta-functions
• On modular relations for the Göllnitz-Gordon functions with application to partitions
• Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction.
• New modular relations for the Göllnitz-Gordon functions.
• Partition identities arising from Somos's theta function identities
• On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
• Some evaluations of Ramanujan's cubic continued fraction
• New modular equations in the spirit of Ramanujan
• On Somos's theta-function identities of level 14
• Certain identities for Ramanujan-Göllnitz-Gordon continued fraction
• Somos's theta-function identities of level 10
• Some Values for the Rogers-Ramanujan Continued Fraction
• Ramanujan's class invariants and cubic continued fraction
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