Advertisement

Diophantine Analysis

Course Notes from a Summer School

  • Jörn Steuding

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Sanda Bujačić, Alan Filipin
    Pages 1-59
  3. Tapani Matala-aho
    Pages 129-174
  4. Back Matter
    Pages 231-232

About this book

Introduction

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.

Keywords

Diophantine Analysis Analytic Number Theory Diophantine Approximation, Transcendence Theory Linear Form in Logarithms Dynamical Systems

Editors and affiliations

  • Jörn Steuding
    • 1
  1. 1.Inst. MathematikUniversität Würzburg Inst. MathematikWürzburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-48817-2
  • Copyright Information Springer International Publishing AG 2016
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-48816-5
  • Online ISBN 978-3-319-48817-2
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site