Lectures on Transcendental Numbers

von K. Mahler

280 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Existence and first properties of transcendental numbers.- Convergent laurent series and formal laurent series.- First results on the values of analytic functions at algebraic points.- Linear differental equations: The lemmas of Shidlovski.- Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points.- Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions.- Applications of Shidlovski's main theorems to special functions.- Formal power series as solutions of algebraic differential equations.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Zahlentheorie
• ISBN: 9783540079866
• Sprache: Englisch
• Erscheinungsdatum: 01.10.1976
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: B. Divis, W. J. LeVeque