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02561nam a22004215i 4500 |
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978-88-7642-520-2 |
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DE-He213 |
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20150519183233.0 |
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cr nn 008mamaa |
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150213s2014 it | s |||| 0|eng d |
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|a 9788876425202
|9 978-88-7642-520-2
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|a 10.1007/978-88-7642-520-2
|2 doi
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|d GrThAP
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|a QA241-247.5
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|a PBH
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|a MAT022000
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|a On Some Applications of Diophantine Approximations
|h [electronic resource] :
|b 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 /
|c edited by Umberto Zannier.
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|a Pisa :
|b Scuola Normale Superiore :
|b Imprint: Edizioni della Normale,
|c 2014.
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|a X, 157 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a Publications of the Scuola Normale Superiore ;
|v 2
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|a 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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|a Mathematics.
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|a Number theory.
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|a Mathematics.
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|a Number Theory.
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|a Zannier, Umberto.
|e editor.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9788876425196
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| 830 |
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|a Publications of the Scuola Normale Superiore ;
|v 2
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|u http://dx.doi.org/10.1007/978-88-7642-520-2
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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