Distribution Modulo One and Diophantine Approximation

Distribution Modulo One and Diophantine Approximation
Author :
Publisher : Cambridge University Press
Total Pages : 317
Release :
ISBN-10 : 9781139535946
ISBN-13 : 1139535943
Rating : 4/5 (943 Downloads)

Book Synopsis Distribution Modulo One and Diophantine Approximation by : Yann Bugeaud

Download or read book Distribution Modulo One and Diophantine Approximation written by Yann Bugeaud and published by Cambridge University Press. This book was released on 2012-07-05 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution modulo one of the integral powers of 3/2 and the frequency of occurrence of each digit in the decimal expansion of the square root of two. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results. With numerous exercises, the book is ideal for graduate courses on Diophantine approximation or as an introduction to distribution modulo one for non-experts. Specialists will appreciate the inclusion of over 50 open problems and the rich and comprehensive bibliography of over 700 references.


Distribution Modulo One and Diophantine Approximation Related Books

Distribution Modulo One and Diophantine Approximation
Language: en
Pages: 317
Authors: Yann Bugeaud
Categories: Mathematics
Type: BOOK - Published: 2012-07-05 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the resu
Distribution Modulo One and Diophantine Approximation
Language: en
Pages: 317
Authors: Yann Bugeaud
Categories: Mathematics
Type: BOOK - Published: 2012-07-05 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, much of it from the last decade. There are numerous exercis
Applications of Diophantine Approximation to Integral Points and Transcendence
Language: en
Pages: 210
Authors: Pietro Corvaja
Categories: Mathematics
Type: BOOK - Published: 2018-05-03 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations
Sequences, Discrepancies and Applications
Language: en
Pages: 517
Authors: Michael Drmota
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors
Encyclopaedia of Mathematics
Language: en
Pages: 743
Authors: Michiel Hazewinkel
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Sovi