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Linear Forms in Logarithms and Applications (IRMA Lectures in Mathematics and Theoretical Physic) (IRMA Lectures in Mathematics and Theoretical Physics) by Yann Bugeaud; Société mathématique européenne is a nonfiction available to read on EtoBox.
What is Linear Forms in Logarithms and Applications (IRMA Lectures in Mathematics and Theoretical Physic) (IRMA Lectures in Mathematics and Theoretical Physics) about?
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
Who reads Linear Forms in Logarithms and Applications (IRMA Lectures in Mathematics and Theoretical Physic) (IRMA Lectures in Mathematics and Theoretical Physics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Yann Bugeaud; Société mathématique européenne
- Publisher
- European Mathematical Society Publishing House, Zuerich, Switzerland
- Published
- 2018
- Language
- EN
- ISBN
- 9783037191835
- Category
- nonfiction
- Subjects
- Mathematics, Science, Stem
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