Irregularities of point distribution relative to half-planes I

J Beck; W. W. L Chen

doi:10.1112/S0025579300013747

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Irregularities of point distribution relative to half-planes I

Journal article

Peer reviewed

Irregularities of point distribution relative to half-planes I

J Beck and W. W. L Chen

Mathematika, Vol.40(1), pp.102-126

06/1993

DOI: https://doi.org/10.1112/S0025579300013747

Abstract

11K38: NUMBER THEORY; Probabilistic theory, distribution modulo 1, metric theory of algorithms; Irregularities of distribution, discrepancy

Suppose that is a distribution of N points in U0, the closed disc of unit area and centred at the origin 0. For every measurable set B in ℝ2, let Z[; B] denote the number of ponts of in B, and write where µ denotes the usual measure in ℝ2

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Details

Title: Irregularities of point distribution relative to half-planes I
Creators: J Beck - Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, U.S.A
W. W. L Chen - School of MPCE, Macquarie University, Sydney, NSW 2109, Australia
Publication Details: Mathematika, Vol.40(1), pp.102-126
Date published: 06/1993
Publisher: London Mathematical Society
Number of pages: 25
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Journal article
Identifiers: 991031666257004646