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Lectures on Transcendental Numbers

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Author(s): Kurt Mahler (auth.), B. Diviš, W. J. Le Veque (eds.)
Series: Lecture Notes in Mathematics 546
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1976

Language: English
Pages: 254
City: Berlin; New York
Tags: Number Theory

Existence and first properties of transcendental numbers....Pages 1-28
Convergent laurent series and formal laurent series....Pages 29-44
First results on the values of analytic functions at algebraic points....Pages 45-59
Linear differental equations: The lemmas of Shidlovski....Pages 60-89
Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points....Pages 90-114
Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions....Pages 115-144
Applications of Shidlovski's main theorems to special functions....Pages 145-184
Formal power series as solutions of algebraic differential equations....Pages 185-212