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Edizioni Della Normale

On Some Applications of Diophantine Approximations: A Translation of C.L. Siegel's Über Einige Anwendungen Diophantischer Approximationen, with a Comm

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Product Code: 9788876425196
ISBN13: 9788876425196
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$45.95

On Some Applications of Diophantine Approximations: A Translation of C.L. Siegel's Über Einige Anwendungen Diophantischer Approximationen, with a Comm

$45.95
 
This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "?ber 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.


Author: Umberto Zannier
Publisher: Edizioni Della Normale
Publication Date: Jan 27, 2015
Number of Pages: 157 pages
Binding: Paperback or Softback
ISBN-10: 8876425195
ISBN-13: 9788876425196
 

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