\(p\)-adic measures of algebraic independence for the values of Ramanujan functions and Klein modular functions

DOI10.1007/s10114-005-0708-0zbMath1117.11038OpenAlexW1974754457MaRDI QIDQ856821

Xu Guangshan, Tianqin Wang

Publication date: 13 December 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0708-0

zbMATH Keywords

modular functionsalgebraic independence

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82) Approximation in non-Archimedean valuations (11J61)

Cites Work

• Unnamed Item
• Measure of simultaneous approximation of \(q\) and \(J(q)\)
• A proof of the Mahler-Manin conjecture
• \(p\)-adic transcendence and \(p\)-adic transcendence measures for the values of Mahler type functions
• Modular functions and transcendence questions
• Transcendental Numbers in the P-Adic Domain

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