Linear Forms in Logarithms and Applications

Yann Bugeaud (Autor)

Buch | Softcover

240 Seiten

2018
EMS Press (Verlag)
978-3-03719-183-5 (ISBN)

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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 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.

Erscheinungsdatum	28.02.2018
Reihe/Serie	IRMA Lectures in Mathematics and Theoretical Physics ; 28
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	abc-conjecture • Baker’s theory • Diophantine equation • irrationality measure • Linear Form in Logarithms • p-adic analysis • primitive divisor • Thue equation
ISBN-10	3-03719-183-X / 303719183X
ISBN-13	978-3-03719-183-5 / 9783037191835
Zustand	Neuware