Diophantine Analysis

Course Notes from a Summer School

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book Diophantine Analysis by Sanda Bujačić, Alan Filipin, Simon Kristensen, Tapani Matala-aho, Nicola M.R. Oswald, Springer International Publishing
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Author: Sanda Bujačić, Alan Filipin, Simon Kristensen, Tapani Matala-aho, Nicola M.R. Oswald ISBN: 9783319488172
Publisher: Springer International Publishing Publication: December 21, 2016
Imprint: Birkhäuser Language: English
Author: Sanda Bujačić, Alan Filipin, Simon Kristensen, Tapani Matala-aho, Nicola M.R. Oswald
ISBN: 9783319488172
Publisher: Springer International Publishing
Publication: December 21, 2016
Imprint: Birkhäuser
Language: English

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 Bujačić 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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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 Bujačić 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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