A metric discrepancy result for geometric progression with ratio 3/2

VOL. 84 | 2020 A metric discrepancy result for geometric progression with ratio 3/2

Katusi Fukuyama

Editor(s) Hidehiko Mishou, Takashi Nakamura, Masatoshi Suzuki, Yumiko Umegaki

Adv. Stud. Pure Math., 2020: 65-78 (2020) DOI: 10.2969/aspm/08410065

Abstract

We prove the law of the iterated logarithm for discrepancies of the sequence $\{(3/2)^k x\}$.

Published: 1 January 2020

First available in Project Euclid: 27 May 2020

Digital Object Identifier: 10.2969/aspm/08410065

Subjects:

Primary: 11K38

Secondary: 42A55 , 60F15

Keywords: Discrepancy , Law of the iterated logarithm

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Vol. 84 • 1 January 2020

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Mathematical Society of Japan