Overview
- Present four different (nevertheless related) topics in Diophantine Analysis
- Each part serves as a self-contained introduction to the topic
- Each part present central results, relevant applications and open problems
- Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Mathematics (TM)
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About this book
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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Keywords
Table of contents (4 chapters)
Editors and Affiliations
About the editor
Jörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany.
Bibliographic Information
Book Title: Diophantine Analysis
Book Subtitle: Course Notes from a Summer School
Editors: Jörn Steuding
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-48817-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2016
Hardcover ISBN: 978-3-319-48816-5Published: 30 December 2016
Softcover ISBN: 978-3-319-84020-8Published: 07 July 2018
eBook ISBN: 978-3-319-48817-2Published: 21 December 2016
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XI, 232
Number of Illustrations: 3 b/w illustrations, 31 illustrations in colour
Topics: Number Theory