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Algebraic Numbers And Diophantine Approximation

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Diophantine Approximation On Linear Algebraic Groups

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Author : Michel Waldschmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Diophantine Approximation On Linear Algebraic Groups written by Michel Waldschmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.

Diophantine Approximations And Diophantine Equations

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Author : Wolfgang M. Schmidt
language : en
Publisher: Springer
Release Date : 2006-12-08

Diophantine Approximations And Diophantine Equations written by Wolfgang M. Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.

"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 Approximation

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Author : W.M. Schmidt
language : en
Publisher: Springer
Release Date : 2009-02-05

Diophantine Approximation written by W.M. Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-05 with Mathematics categories.

"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 rational approxi- mations to algebraic numbers. The present volume is an ex- panded and up-dated version of the original mimeographed notes on the course. As an introduction to the author's own remarkable achievements relating to the Thue-Siegel-Roth theory, the text can hardly be bettered and the tract can already be regarded as a classic in its field."(Bull.LMS) "Schmidt's work on approximations by algebraic numbers belongs to the deepest and most satisfactory parts of number theory. These notes give the best accessible way to learn the subject. ... this book is highly recommended." (Mededelingen van het Wiskundig Genootschap)

Diophantine Approximation On Linear Algebraic Groups

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Author : Michel Waldschmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-05-26

Approximation By Algebraic Numbers

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Author : Yann Bugeaud
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-08

Approximation By Algebraic Numbers written by Yann Bugeaud and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-08 with Mathematics categories.

An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references.

Diophantine Approximation And Its Applications

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Author : Charles F. Osgood
language : en
Publisher:
Release Date : 1973

Diophantine Approximation And Its Applications written by Charles F. Osgood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

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.

Algebraic Numbers And Diophantine Approximation

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Author : Kenneth B. Stolarsky
language : en
Publisher:
Release Date : 1974

Algebraic Numbers And Diophantine Approximation written by Kenneth B. Stolarsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Algebraic number theory categories.

Approximation To Algebraic Numbers

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Author : Wolfgang M. Schmidt
language : en
Publisher:
Release Date : 1972

Approximation To Algebraic Numbers written by Wolfgang M. Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebraic fields categories.

Nevanlinna Theory And Its Relation To Diophantine Approximation

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Author : Min Ru
language : en
Publisher: World Scientific
Release Date : 2001-06-06

Nevanlinna Theory And Its Relation To Diophantine Approximation written by Min Ru and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-06 with Mathematics categories.

It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections. This book provides an introduction to both Nevanlinna theory and Diophantine approximation, with emphasis on the analogy between these two subjects.Each chapter is divided into part A and part B. Part A deals with Nevanlinna theory and part B covers Diophantine approximation. At the end of each chapter, a table is provided to indicate the correspondence of theorems.

Diophantine Geometry

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Author : Marc Hindry
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Diophantine Geometry written by Marc Hindry and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

Algebraic Numbers And Diophantine Approximation

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