Umberto Zannier 
On Some Applications of Diophantine Approximations [PDF ebook] 
A translation of C.L. Siegel’s Über einige Anwendungen diophantischer Approximationen, with a commentary by C. Fuchs and U. Zannier)

समर्थन

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.

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विषयसूची

Preface by C. Fuchs and U. Zannier.- On some applications of Diophantine approximations (a translation by C. Fuchs of C.L. Siegel’s Über einige Anwendungen diophantischer Approximationen).- Über einige Anwendungen diophantischer Approximationen (by C.L. Siegel).- Integral points on curves: Siegel’s theorem after Siegel’s proof, by C. Fuchs and U. Zannier.

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भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 157 ● ISBN 9788876425202 ● फाइल का आकार 7.0 MB ● संपादक Umberto Zannier ● प्रकाशक Edizioni della Normale ● शहर Pisa ● देश CH ● प्रकाशित 2015 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 4609527 ● कॉपी सुरक्षा सामाजिक DRM

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