An upper estimate for the discrepancy of irrational rotations

DOI10.1007/s10474-017-0702-xzbMath1399.11129OpenAlexW2601213185MaRDI QIDQ682134

Juan-Miguel Gracia

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10474-017-0702-x

zbMATH Keywords

discrepancyirrational rotationcontinued fractionrational rotationuniform distribution sequence

Mathematics Subject Classification ID

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

Related Items

On extreme values for the Sudler product of quadratic irrationals

Cites Work

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• On the extremal theory of continued fractions
• Sequences, discrepancies and applications
• On discrepancies of irrational rotations: an approach via rational rotation
• On the discrepancy of (n\(\alpha\) ). II
• Estimates for partial sums of continued fraction partial quotients
• On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics
• Continued fractions and irrational rotations
• On the discrepancy of (nα)

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