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  • Cited by 144
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1987
Online ISBN:
9780511565984
DOI:
https://doi.org/10.1017/CBO9780511565984
Subjects:
Mathematics (general), Mathematics, Number Theory
Series:
Cambridge Tracts in Mathematics (89)
Information

Book description

This book is an authoritative description of the various approaches to and methods in the theory of irregularities of distribution. The subject is primarily concerned with number theory, but also borders on combinatorics and probability theory. The work is in three parts. The first is concerned with the classical problem, complemented where appropriate with more recent results. In the second part, the authors study generalizations of the classical problem, pioneered by Schmidt. Here, they include chapters on the integral equation method of Schmidt and the more recent Fourier transform technique. The final part is devoted to Roth's '1/4-theorem'.

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