Jacobi's triple-product identity and an associated family of theta-function identities

DOI10.1134/S0001434622110116zbMath1505.05023MaRDI QIDQ2680724

G. A. Salilew, M. P. Chaudhary, Sangeeta Choudhary, Hari M. Srivastava

Publication date: 4 January 2023

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

quadratic formselliptic functionsRamanujan's theta functionstheory of partitions\(q\)-series identitiesJacobi's triple-product identitytheta-function identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Theta series; Weil representation; theta correspondences (11F27) Analytic theory of partitions (11P82) Theta functions and curves; Schottky problem (14H42)

Related Items (1)

RELATIONSHIPS BETWEEN MOCK THETA FUNCTIONS AND q-CONTINUED FRACTIONS

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
• Some iterated fractional \(q\)-integrals and their applications
• Theta-function identities and the explicit formulas for theta-function and their applications
• Some congruences for overpartitions with restriction
• A family of theta-function identities related to Jacobi's triple-product identity
• TWO THETA FUNCTION IDENTITIES
• A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
• THE QUINTUPLE PRODUCT IDENTITY
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