On the measure of algebraic independence of values of derivatives of a \(p\)-adic modular function (Q1274116)
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scientific article; zbMATH DE number 1238070
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the measure of algebraic independence of values of derivatives of a \(p\)-adic modular function |
scientific article; zbMATH DE number 1238070 |
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On the measure of algebraic independence of values of derivatives of a \(p\)-adic modular function (English)
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23 March 1999
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Für das \(p\)-adische Analogon \(J\) der elliptischen Modulfunktion und ihre Ableitungen wird ein Resultat von \textit{D. Bertrand} [Bull. Soc. Math. Fr. 104, 309-321 (1976; Zbl 0341.10031)] verschärft; es geht um ein Maß für algebraische Unabhängigkeit der ersten und zweiten Ableitung von \(J\). Wesentliche neue Hilfsmittel sind neue Resultate von Yu. V. Nesterenko.
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measure of algebraic independences
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values of derivatives
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\(p\)-adic modular function
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