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Monatshefte für Mathematik

, Volume 160, Issue 2, pp 143–149 | Cite as

A law of the iterated logarithm for discrepancies: non-constant limsup

  • Katusi Fukuyama
Article

Abstract

We prove the existence of a sequence {n k x} whose discrepancies obey a bounded law of the iterated logarithm with a non-constant limsup.

Keywords

Discrepancy Law of the iterated logarithm 

Mathematics Subject Classification (2000)

Primary: 11K38 42A55 60F15 

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsKobe UniversityKobeJapan

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