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On discrepancies of irrational rotations: an approach via rational rotation

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Publication:682126
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DOI10.1007/s10998-016-0164-xzbMath1399.11130OpenAlexW2566126959MaRDI QIDQ682126

Naoto Shimaru, Keizo Takashima

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10998-016-0164-x

zbMATH Keywords

continued fractionsirrational rotationsdiscrepancyisolated large partial quotientsrational rotations


Mathematics Subject Classification ID

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


Related Items

An upper estimate for the discrepancy of irrational rotations



Cites Work

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  • On the discrepancy of irrational rotations with isolated large partial quotients: long term effects
  • Sequences, discrepancies and applications
  • On the discrepancy of (n\(\alpha\) ). II
  • On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics
  • On the discrepancy of (nα)
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