Infinite product formulae for generating functions for sequences of squares

DOI10.1007/978-3-030-84304-5_8zbMath1499.11189arXiv1912.04658OpenAlexW3213553284MaRDI QIDQ2097075

Mircea Merca, Cristian-Silviu Radu, Christian Krattenthaler

Publication date: 11 November 2022

Full work available at URL: https://arxiv.org/abs/1912.04658

zbMATH Keywords

modular functionsJacobi theta functionsJacobi triple product identityWeierstraß relation for theta products

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

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• The truncated pentagonal number theorem
• Defining equations of modular curves
• Partition analysis, modular functions, and computer algebra
• Truncated Theta Series and Rogers-Ramanujan Functions