Optimal bound for the discrepancies of lacunary sequences

Christoph Aistleitner; Katusi Fukuyama; Yukako Furuya

doi:10.4064/aa158-3-3

Optimal bound for the discrepancies of lacunary sequences

Christoph Aistleitner, Katusi Fukuyama, Yukako Furuya

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

The law of the iterated logarithm for discrepancies of lacunary sequences is studied. An optimal bound is given under a very mild Diophantine type condition.

Original language	English
Pages (from-to)	229-243
Journal	Acta Arithmetica
Volume	158
Issue number	3
DOIs	https://doi.org/10.4064/aa158-3-3
Publication status	Published - 2013

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title = "Optimal bound for the discrepancies of lacunary sequences",

abstract = "The law of the iterated logarithm for discrepancies of lacunary sequences is studied. An optimal bound is given under a very mild Diophantine type condition. ",

author = "Christoph Aistleitner and Katusi Fukuyama and Yukako Furuya",

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AU - Fukuyama, Katusi

AU - Furuya, Yukako

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SP - 229

EP - 243

JO - Acta Arithmetica

JF - Acta Arithmetica

IS - 3

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Optimal bound for the discrepancies of lacunary sequences

Abstract

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