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Title 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 / edited by Umberto Zannier
Published Pisa : Edizioni della Normale, 2014
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Description 1 online resource (x, 157 pages)
Series Publications of the Scuola Normale Superiore, Monographs ; 2
Publications of the Scuola Normale Superiore. Monographs ; 2
Summary 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 theorem on integral points on algebraic curves. Many modern versions of Siegel?s proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel?s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and U. Zannier, commenting on some aspects of the evolution of this field following Siegel?s paper. To end, it presents three modern proofs of Siegel?s theorem on integral points
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed February 18, 2015)
Subject Diophantine approximation.
Form Electronic book
Author Zannier, U. (Umberto), 1957- editor, author
Fuchs, Clemens, 1976- translator, author
Siegel, C. L. (Carl Ludwig), 1896-1981.
Translation of Siegel, C. L. (Carl Ludwig), 1896-1981. Über einige Anwendungen diophantischer Approximationen
ISBN 8876425195 (print)
8876425209 (electronic bk.)
9788876425196 (print)
9788876425202 (electronic bk.)
OTHER TI Container of (work) Integral points on curves