ENGLISH

Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting

By József Beck (auth.)

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-10740-0, 978-3-319-10741-7
DOI
10.1007/978-3-319-10741-7
Language
english
Format
PDF
Filesize
5 MB (5371401 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
487\497
Time added
2014-11-10 20:00:00
Number Theory; Probability Theory and Stochastic P

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.

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