RELATIONS BETWEEN MOCK THETA FUNCTIONS AND COMBINATORIAL PARTITION IDENTITIES

DOI10.56827/jrsmms.2022.1001.6MaRDI QIDQ6113718

Unnamed Author, M. P. Chaudhary, Kamel Mazhouda

Publication date: 11 July 2023

Published in: JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES (Search for Journal in Brave)

Full work available at URL: https://rsmams.org/journals/articleinfo.php?articleid=799&tag=jrsmams

zbMATH Keywords

\(q\)-seriesmock theta functions\(q\)-product identities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Double series representations for Schur's partition function and related identities
• A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity
• The Mock Theta Functions (2)

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