On the discrepancy of irrational rotations with isolated large partial quotients: long term effects

DOI10.1007/s10474-015-0563-0zbMath1363.11075OpenAlexW1942513411MaRDI QIDQ343276

Takayoshi Setokuchi

Publication date: 25 November 2016

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0563-0

zbMATH Keywords

discrepancyirrational rotationcontinued fractionOstrowski representation

Mathematics Subject Classification ID

Continued fractions (11A55) Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)

Related Items (2)

On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics ⋮ On discrepancies of irrational rotations: an approach via rational rotation

Cites Work

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• Sequences, discrepancies and applications
• On the discrepancy of (n\(\alpha\) ). II
• On the discrepancy of (nα)
• The discrepancy of random sequences {kx}

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