On Some Applications of Diophantine Approximations a translation of Carl Ludwig Siegel’s Über einige Anwendungen diophantischer Approximationen by Clemens Fuchs, with a commentary and the article Integral points on curves: Siegel’s theorem after Siegel’s proof by Clemens Fuchs and Umberto Zannier /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Zannier, Umberto (Editor)
• Format: Electronic eBook
• Language: English
• Published: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014.
• Series: Publications of the Scuola Normale Superiore ; 2
• Subjects: Mathematics.; Number theory.; Number Theory.

This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated t...