Diophantine Analysis

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  • Diophantine Analysis Book Detail

  • Author : Jörn Steuding
  • Release Date : 2016-12-21
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 239
  • ISBN 13 : 3319488171
  • File Size : 62,62 MB

Diophantine Analysis by Jörn Steuding PDF Summary

Book Description: 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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Diophantine Analysis

Diophantine Analysis

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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 a

Elliptic Curves

Elliptic Curves

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It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for

Lecture Notes on Diophantine Analysis

Lecture Notes on Diophantine Analysis

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These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathem