Diophantine Approximations and Diophantine Equations

Diophantine Approximations and Diophantine Equations
Author: Wolfgang M. Schmidt
Publisher: Springer
Total Pages: 224
Release: 2006-12-08
Genre: Mathematics
ISBN: 3540473742

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"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


Diophantine Approximations and Diophantine Equations
Language: en
Pages: 224
Authors: Wolfgang M. Schmidt
Categories: Mathematics
Type: BOOK - Published: 2006-12-08 - Publisher: Springer

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"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to dioph
On Some Applications of Diophantine Approximations
Language: en
Pages: 169
Authors: Umberto Zannier
Categories: Mathematics
Type: BOOK - Published: 2015-02-13 - Publisher: Springer

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This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel.
Diophantine Approximations
Language: en
Pages: 80
Authors: Ivan Niven
Categories: Mathematics
Type: BOOK - Published: 2013-01-23 - Publisher: Courier Corporation

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This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of com
Diophantine Approximation
Language: en
Pages: 416
Authors: Robert F. Tichy
Categories: Mathematics
Type: BOOK - Published: 2008-07-10 - Publisher: Springer Science & Business Media

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This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conf
Diophantine Approximation
Language: en
Pages: 312
Authors: W.M. Schmidt
Categories: Mathematics
Type: BOOK - Published: 2009-02-05 - Publisher: Springer

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"In 1970, at the U. of Colorado, the author delivered a course of lectures on his famous generalization, then just established, relating to Roth's theorem on ra