| Description |
1 online resource (x, 157 pages) |
| Series |
Publications of the Scuola Normale Superiore, Monographs ; 2 |
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Publications of the Scuola Normale Superiore. Monographs ; 2.
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| 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 |
| Analysis |
wiskunde |
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mathematics |
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getallenleer |
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number theory |
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Mathematics (General) |
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Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed February 18, 2015) |
| Subject |
Diophantine approximation.
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MATHEMATICS -- Algebra -- Intermediate.
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Diophantine approximation
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| Form |
Electronic book
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| Author |
Zannier, U. (Umberto), 1957- editor, author.
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Fuchs, Clemens, 1976- translator, author.
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Siegel, C. L. (Carl Ludwig), 1896-1981.
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Translation of Siegel, C. L. (Carl Ludwig), 1896-1981.
Über einige Anwendungen diophantischer Approximationen
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| ISBN |
9788876425202 |
|
8876425209 |
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8876425195 |
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9788876425196 |
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