On certain new differential equations for ratio of theta functions

DOI10.1007/s40863-020-00201-4zbMath1499.11195OpenAlexW3118417378WikidataQ115371603 ScholiaQ115371603MaRDI QIDQ2107685

H. T. Shwetha, K. N. Harshitha, Guillaume Vinay

Publication date: 2 December 2022

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-020-00201-4

zbMATH Keywords

theta functionsmodular equationsincomplete elliptic integrals and Eisenstein series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

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Cites Work

• Modular equations for Ramanujan's cubic continued fraction
• A family of theta-function identities related to Jacobi's triple-product identity
• Ramanujan's Theta Functions
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