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Field name	Details
Title	Linear Forms in Logarithms and Applications ([EBook] /) / Yann Bugeaud
Author	Bugeaud, Yann
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2018
Physical Details	1 online resource (240 pages)
Series	IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 28
ISBN	9783037196830
Summary Note	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.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/183
See Also	https://www.ems-ph.org/img/books/bugeaud_mini.jpg
Links to Related Works	Subject References: Number Theory . Authors: author . Bugeaud, Yann . Series: IRMA Lectures in Mathematics and Theoretical Physics (IRMA) .

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Linear Forms in Logarithms and Applications

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