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On Some Applications of Diophantine Approximations

2015-02-13 Mathematics
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Release : 2015-02-13
Genre : Mathematics
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Book Rating : 209/5 ( reviews)

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Book Synopsis On Some Applications of Diophantine Approximations by : Umberto Zannier

Download or read book On Some Applications of Diophantine Approximations written by Umberto Zannier. This book was released on 2015-02-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Diophantine Approximation and Its Applications

1973 Mathematics
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Release : 1973
Genre : Mathematics
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Book Synopsis Diophantine Approximation and Its Applications by : Charles F. Osgood

Download or read book Diophantine Approximation and Its Applications written by Charles F. Osgood. This book was released on 1973. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the proceedings of a Conference on Diophantine Approximation and Its Applications held in Washington, D.C., June 6-8, 1972, and sponsored by the Mathematics Research Center of the Naval Research Laboratory. The purpose of this meeting was to stimulate research in the area of Diophantine approximation by bringing together many of the leading researchers in this field so that they could exchange information and ideas. Fourteen formal lectures were presented at the conference, and these are the papers contained in this volume.

Diophantine Approximations and Diophantine Equations

2006-12-08 Mathematics
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Release : 2006-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 742/5 ( reviews)

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Book Synopsis Diophantine Approximations and Diophantine Equations by : Wolfgang M. Schmidt

Download or read book Diophantine Approximations and Diophantine Equations written by Wolfgang M. Schmidt. This book was released on 2006-12-08. Available in PDF, EPUB and Kindle. Book excerpt: "This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum

Some applications of Diophantine Approximation to Diophantine Equations. With Special Emphasis on the Schmidt Subspace Theorem

2003 Mathematics
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Release : 2003
Genre : Mathematics
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Book Rating : 751/5 ( reviews)

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Book Synopsis Some applications of Diophantine Approximation to Diophantine Equations. With Special Emphasis on the Schmidt Subspace Theorem by : Umberto Zannier

Download or read book Some applications of Diophantine Approximation to Diophantine Equations. With Special Emphasis on the Schmidt Subspace Theorem written by Umberto Zannier. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt:

On Some Applications of Diophantine Approximations

2014 Diophantine analysis
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Release : 2014
Genre : Diophantine analysis
Kind : eBook
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Book Synopsis On Some Applications of Diophantine Approximations by : Carl Ludwig Siegel

Download or read book On Some Applications of Diophantine Approximations written by Carl Ludwig Siegel. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt: 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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