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Linear Forms in Logarithms and Appli...
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Bugeaud, Yann,
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Linear Forms in Logarithms and Applications
Record Type:
Electronic resources : Monograph/item
Title/Author:
Linear Forms in Logarithms and Applications/ Yann Bugeaud
Author:
Bugeaud, Yann,
Published:
Zuerich, Switzerland :European Mathematical Society Publishing House, : 2018,
Description:
1 online resource (240 pages)
Subject:
Number theory - Problems, exercises, etc. -
Online resource:
https://doi.org/10.4171/183
Online resource:
https://www.ems-ph.org/img/books/bugeaud_mini.jpg
ISBN:
9783037196830
Linear Forms in Logarithms and Applications
Bugeaud, Yann,
Linear Forms in Logarithms and Applications
[electronic resource] /Yann Bugeaud - Zuerich, Switzerland :European Mathematical Society Publishing House,2018 - 1 online resource (240 pages) - IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;282523-5133 ;.
Restricted to subscribers:https://www.ems-ph.org/ebooks.php
The aim of this book is to serve as an introductory text to the theory of linear forms in the logarithms of algebraic numbers, with a special emphasis on a large variety of its applications. We wish to help students and researchers to learn what is hidden inside the blackbox ,Baker's theory of linear forms in logarithms' (in complex or in $p$-adic logarithms) and how this theory applies to many Diophantine problems, including the e{0B}ffective resolution of Diophantine equations, the $abc$-conjecture, and upper bounds for the irrationality measure of some real numbers. Written for a broad audience, this accessible and self-contained book can be used for graduate courses (some 30 exercises are supplied). Specialists will appreciate the inclusion of over 30 open problems and the rich bibliography of over 450 references.
ISBN: 9783037196830
Standard No.: 10.4171/183doiSubjects--Topical Terms:
1232300
Number theory
--Problems, exercises, etc.
Linear Forms in Logarithms and Applications
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The aim of this book is to serve as an introductory text to the theory of linear forms in the logarithms of algebraic numbers, with a special emphasis on a large variety of its applications. We wish to help students and researchers to learn what is hidden inside the blackbox ,Baker's theory of linear forms in logarithms' (in complex or in $p$-adic logarithms) and how this theory applies to many Diophantine problems, including the e{0B}ffective resolution of Diophantine equations, the $abc$-conjecture, and upper bounds for the irrationality measure of some real numbers. Written for a broad audience, this accessible and self-contained book can be used for graduate courses (some 30 exercises are supplied). Specialists will appreciate the inclusion of over 30 open problems and the rich bibliography of over 450 references.
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