| Softcover ISBN: | 978-3-03719-183-5 |
| Product Code: | EMSILMTP/28 |
| List Price: | $48.00 |
| AMS Member Price: | $38.40 |
| Softcover ISBN: | 978-3-03719-183-5 |
| Product Code: | EMSILMTP/28 |
| List Price: | $48.00 |
| AMS Member Price: | $38.40 |
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Book DetailsEMS IRMA Lectures in Mathematics and Theoretical PhysicsVolume: 28; 2018; 240 ppMSC: Primary 11
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. The author intends 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.
A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.
ReadershipGraduate students and researchers interested in number theory and its 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. The author intends 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.
A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.
Graduate students and researchers interested in number theory and its applications.
