Hypergeometric transformations of linear forms in one logarithm

Carlo Viola; Wadim Zudilin

doi:10.7169/facm/1229696572

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Home > Journals > Funct. Approx. Comment. Math. > Volume 39 > Issue 2 > Article

December 2008 Hypergeometric transformations of linear forms in one logarithm

Carlo Viola, Wadim Zudilin

Funct. Approx. Comment. Math. 39(2): 211-222 (December 2008). DOI: 10.7169/facm/1229696572

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Abstract

We discuss hypergeometric constructions of rational approximations to values of the logarithm function.

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Carlo Viola. Wadim Zudilin. "Hypergeometric transformations of linear forms in one logarithm." Funct. Approx. Comment. Math. 39 (2) 211 - 222, December 2008. https://doi.org/10.7169/facm/1229696572

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Published: December 2008

First available in Project Euclid: 19 December 2008

zbMATH: 1205.33008

MathSciNet: MR2490737

Digital Object Identifier: 10.7169/facm/1229696572

Subjects:

Primary: 33C05

Secondary: 11J82 , 33C60

Keywords: hypergeometric integral , hypergeometric series , irrationality measure , Rational approximation

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Funct. Approx. Comment. Math.

Vol.39 • No. 2 • December 2008

Adam Mickiewicz University, Faculty of Mathematics and Computer Science

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Carlo Viola, Wadim Zudilin "Hypergeometric transformations of linear forms in one logarithm," Functiones et Approximatio Commentarii Mathematici, Funct. Approx. Comment. Math. 39(2), 211-222, (December 2008)

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