On the \(\chi^2\) statistics of leading digits of irrational rotations with a large first or second partial quotient

DOI10.1007/s10998-019-00306-0zbMath1463.11126OpenAlexW2997021473MaRDI QIDQ2204118

Toshifumi Nagayoshi, Keizo Takashima

Publication date: 2 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10998-019-00306-0

zbMATH Keywords

irrational rotationsdiscrepancycontinued fraction expansionleading digitslarge partial quotients

Mathematics Subject Classification ID

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

Cites Work

• On the extremal theory of continued fractions
• Sequences, discrepancies and applications
• Berry-Esseen bounds and Diophantine approximation
• On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics
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