On the measure of algebraic independence of values of derivatives of a \(p\)-adic modular function

DOI10.1007/BF02355418zbMath0918.11041OpenAlexW2059253756MaRDI QIDQ1274116

A. Ya. Yanchenko

Publication date: 23 March 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355418

zbMATH Keywords

\(p\)-adic modular functionmeasure of algebraic independencesvalues of derivatives

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) (p)-adic theory, local fields (11F85) Holomorphic modular forms of integral weight (11F11) Measures of irrationality and of transcendence (11J82)

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Elliptic Functions and Transcendence

Cites Work

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• On the algebraic independence of certain numbers connected with the exponential and the elliptic functions
• Une mesure d'indépendance algébrique. (A measure of algebraic independence)
• Séries d'Eisenstein et transcendance