Probabilistic Diophantine Approximation

Randomness in Lattice Point Counting

By:

Jozsef Beck

Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

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.

Author Biography:

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

Release date Australia

October 22nd, 2014

Author

Jozsef Beck

Audience

Professional & Vocational

Illustrations

22 Illustrations, black and white; XVI, 487 p. 22 illus.

Pages

487

Series

Springer Monographs in Mathematics

Dimensions

155x235x27

ISBN-13

9783319107400

Product ID

22639006

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