Diophantine Analysis: Course Notes from a Summer School - Couverture rigide

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9783319488165: Diophantine Analysis: Course Notes from a Summer School

Synopsis

This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker's method of bounding linear forms in logarithms (authored by Sanda Bujačic and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski's geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.

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À propos de l?auteur

Jörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany.

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Autres éditions populaires du même titre

9783319840208: Diophantine Analysis: Course Notes from a Summer School

Edition présentée

ISBN 10 :  3319840207 ISBN 13 :  9783319840208
Editeur : Birkhäuser, 2018
Couverture souple