A lower bound for the b-adic diaphony

The b-adic diaphony is a quantitative measure for the irregularity of distribution of a point set in the s-dimensional unit cube. In this note we show that the b-adic diaphony (for prime b) of a point set consisting of N points in the s-dimensional unit cube is always at least of order (log N)^{(s−1...

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Bibliographic Details
Main Authors: Ligia L. Cristea, Friedrich Pillichshammer
Format: Article
Language:English
Published: Sapienza Università Editrice 2007-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2007(2)/147-153.pdf