On certain trigonometric identities

DOI10.1007/s13398-019-00702-8zbMath1439.11117arXiv1907.00711OpenAlexW2951811793MaRDI QIDQ2331710

Yanyan Li

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00711

zbMATH Keywords

theta function identityelliptic functiontrigonometric identity

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05)

Related Items (2)

Proofs for certain \(q\)-trigonometric identities of Gosper ⋮ Sharp inequalities on circular and hyperbolic functions using Bernoulli inequality types

Cites Work

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• Solving some \(q\)-trigonometric conjectures of Gosper
• Proofs for certain \(q\)-trigonometric identities of Gosper
• An addition formula for the Jacobian theta function and its applications
• Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences
• Proofs for two \(q\)-trigonometric identities of Gosper
• A three-term theta function identity and its applications
• Duplication formulae involving Jacobi theta functions and Gosper’s 𝑞-trigonometric functions
• Confirming a $q$-trigonometric conjecture of Gosper
• On the Additive Formulae of the Theta Functions and a Collection of Lambert Series Pertaining to the Modular Equations of Degree 5
• A theta function identity and its implications
• On Some Modular Equations of Degree 5
• Residue theorem and theta function identities

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