Metric discrepancy results for Erdős-Fortet sequence-Reference-Cited by-同舟云学术

Metric discrepancy results for Erdős-Fortet sequence

Published:2012-03-01 Issue:1 Volume:49 Page:52-78
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
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Author:

Fukuyama Katusi¹,Miyamoto Sho²

Affiliation:

1. 1 Kobe University Department of Mathematics Rokko, Kobe 657-8501 Japan

2. 2 Kobe University Graduate School of Science Rokko, Kobe 657-8501 Japan

Abstract

For the classical Erdős-Fortet sequence nk = 2k − 1 we show that the law of the iterated logarithm for star discrepancy of {nkx} has non-constant limsup, while the law for discrepancy has constant limsup.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2011.1186

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