Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting - Couverture souple

Livre 119 sur 184: Springer Monographs in Mathematics

Beck, József

 
9783319354651: Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting

Synopsis

This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques.

Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.

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À propos de l?auteur

József Beck is Harold H. Martin Professor of Mathematics at Rutgers University.

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Autres éditions populaires du même titre

9783319107400: Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting

Edition présentée

ISBN 10 :  3319107402 ISBN 13 :  9783319107400
Editeur : Springer International Publishin..., 2014
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