Inversion formulas for the \(j\)-function around elliptic points

DOI10.1007/s00013-022-01767-5OpenAlexW4294325494WikidataQ113906373 ScholiaQ113906373MaRDI QIDQ2673893

Alejandro De Las Penas Castano, Badri Vishal Pandey

Publication date: 21 September 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.08189

zbMATH Keywords

Taylor seriesnumber theory\(j\)-functionRamanujan's theory of elliptic functions to alternative basesclassical hypergeometric function

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Monstrous moonshine and monstrous Lie superalgebras
• Elliptic Modular Forms and Their Applications
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Ramanujan and the Modular j-Invariant
• Proof of the elliptic expansion moonshine conjecture of Căldăraru, He, and Huang
• Modular Forms

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