Probabilistic Diophantine Approximation : Randomness in Lattice Point Counting

József Beck

ISBN 10: 3319107402 / ISBN 13: 9783319107400

Published by Springer, Palgrave Macmillan, 2014

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783319107400

Bibliographic Details

• Title: Probabilistic Diophantine Approximation : Randomness in Lattice Point Counting
• Publisher: Springer, Palgrave Macmillan
• Publication Date: 2014
• Language: English
• ISBN 10: 3319107402
• ISBN 13: 9783319107400
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 33D millimeters 241 millimeters width by 160 millimeters height by 33 millimeters depth
• Weight: 916 grams

About this title

Synopsis

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.

About the Author

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