Probabilistic Diophantine Approximation - Randomness in Lattice Point Counting (Hardcover, 2014 ed.)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	October 2014
First published:	2014
Authors:	Jozsef Beck
Dimensions:	235 x 155 x 27mm (L x W x T)
Format:	Hardcover
Pages:	487
Edition:	2014 ed.
ISBN-13:	978-3-319-10740-0
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	3-319-10740-2
Barcode:	9783319107400

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