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Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting by József Beck

Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting

by József Beck
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Book cover type: Paperback
  • ISBN13: 9783319354651
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 487
  • Original Price: EUR 99.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 709 grams
  • BISAC Subject(s): Number Theory and Probability & Statistics / General

From the Back Cover

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.

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

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