Modular proofs of Gosper's identities

DOI10.1016/j.aam.2021.102312OpenAlexW4205121126WikidataQ113881577 ScholiaQ113881577MaRDI QIDQ2078925

Liuquan Wang

Publication date: 4 March 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.06319

zbMATH Keywords

theta functionseta productshauptmodulsGosper's identities

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

On certain \(q\)-trigonometric identities analogous to that of Gosper's

Cites Work

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• Proofs for certain \(q\)-trigonometric identities of Gosper
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• The automorphism group of Leech lattice and elliptic modular functions
• Ramanujan's modular equations and Atkin-Lehner involutions
• On the Gosper's \(q\)-constant \(\Pi_q\)
• Proofs for certain \(\Pi_q\)-identities of W. Gosper
• Proof for a \(\Pi_q\)-identity of Gosper
• Proofs for two \(q\)-trigonometric identities of Gosper
• On series identities of Gosper and integrals of Ramanujan theta function 𝜓(𝑞)

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