Diophantine Analysis: Course Notes from a Summer School
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 Bujaić 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 …
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- Full title :Diophantine Analysis : Course Notes from a Summer School / edited by Jr̲n Steuding.
Summary
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 Bujaić 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.
Read More ↓Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):Birkhũser, Imprint, Springer International Publishing
- Place of Publication:Cham
- Language:eng
- Publication Date:2016.
The Physical Object
- Description:1 online resource (XI, 232 pages 34 illustrations, 31 illustrations in color.) : : online resource
Edition Identifiers
- ISBN:9783319488172, 3319488171, 9783319488165, 3319488163
- DOI:10.1007/978-3-319-48817-2
- oclc:ocn974366232
- LC Classification:QA241-247.5
- Dewey Decimal:512.7
Table of Contents
1. Linear Forms in Logarithms (by Sanda Bujaić, Alan Filipin) -- 2. Metric Diophantine Approximation -- From Continued Fractions to Fractals (by Simon Kristensen) -- 3. A Geometric Face of Diophantine Analysis (by Tapani Matala-aho) -- 4. Historical Face of Number Theory(ists) at the turn of the 19th Century (by Nicola M.R. Oswald).
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