Probabilistic diophantine approximation [electronic resource] : randomness in lattice point counting / József Beck.

9783319107417 electronic book
3319107410 electronic book
9783319107400

Cham : Springer, 2014.

English

1 online resource (xvi, 487 pages) : illustrations.

10.1007/978-3-319-10741-7 doi

QA242

512.7/3

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed October 16, 2014).

Springer monographs in mathematics.

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