On the reciprocity theorem of Ramanujan and its applications

DOI10.1285/I15900932V38N2P117zbMath1405.33022OpenAlexW2924175301MaRDI QIDQ4614154

D. D. Somashekara, K. N. Vidya

Publication date: 30 January 2019

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/20054

zbMATH Keywords

partition functionquintuple product identityreciprocity theorembasic hypergeometric seriesJacobi's triple product identity

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Power residues, reciprocity (11A15)

Cites Work

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• Ramanujan's ``lost notebook. I: Partial Theta-functions
• THE QUINTUPLE PRODUCT IDENTITY
• Ramanujan's Lost Notebook
• On a Transformation of Bilateral Series with Applications

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