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Accueil > Publications > Lectures in Mathematics & Theoretical Physics > Volume 28 : Linear Forms in Logarithms and Applications
Volume 28 : Linear Forms in Logarithms and Applications
Editor :
Yann Bugeaud (Université de Strasbourg, France)
ISBN print 978-3-03719-183-5, ISBN online 978-3-03719-683-0
DOI 10.4171/183
March 2018, 240 pages, softcover, 17 x 24 cm.
38.00 Euro
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 effective 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.
Keywords : Baker’s theory, linear form in logarithms, Diophantine equation, Thue equation, abc-conjecture, primitive divisor, irrationality measure, p-adic analysis
Relevant information and order form are available on EMS web site.
Dernière mise à jour le 23-03-2020
Dans la même rubrique :
- Présentation
- Volume 32 : Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 2
- Volume 31 : Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 1
- Volume 30 : Handbook of Teichmüller Theory, Volume VII
- Volume 29 : Eighteen Essays in Non-Euclidean Geometry
- Volume 27 : Handbook of Teichmüller Theory, Volume VI
- Volume 26 : Handbook of Teichmüller Theory, Volume V
- Volume 25 : Metric Measure Geometry. Gromov’s Theory of Convergence and Concentration of Metrics and Measures
- Volume 24 : Free Loop Spaces in Geometry and Topology
- Volume 23 : Sophus Lie and Felix Klein : The Erlangen Program and Its Impact in Mathematics and Physics.
- Volume 22 : Handbook of Hilbert Geometry
- Volume 21 : Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series.
- Volume 20 : Singularities in Geometry and Topology
- Volume 19 : Handbook of Teichmüller Theory, Volume IV
- Volume 18 : Strasbourg Master Class on Geometry
- Volume 17 : Handbook of Teichmüller Theory, Volume III
- Volume 16 : Handbook of Pseudo-Riemannian Geometry and Supersymmetry
- Volume 15 : Renormalization and Galois Theories
- Volume 14 : Dynamical Systems and Processes
- Volume 13 : Handbook of Teichmüler Theory, volume II
- Volume 12 : Quantum Groups
- Volume 11 : Handbook of Teichmüller Theory, Volume I
- Volume 10 : Physics and Number Theory
- Volume 09 : Differential Equations and Quantum Groups
- Volume 08 : AdS/CFT Correspondence : Einstein Metrics and Their Conformal Boundaries
- Volume 07 : Numerical Methods for Hyperbolic and Kinetic Problems
- Volume 06 : Metric Spaces, Convexity and Nonpositive Curvature
- Volume 05 : Infinite Dimensional Groups and Manifolds
- Volume 04 : Three Courses on Partial Differential Equations
- Volume 03 : From Combinatorics to Dynamical Systems
