On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics
type: Item
instance of: scholarly article
title: On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics
zbMATH Open document ID: 1389.11111
author: Yoshiyuki Mori
author: Keizo Takashima
published in: Periodica Mathematica Hungarica
publication date: 2017-11-10T00:00:00Z
review text: The authors investigate the \(\chi^2\) statistic of the leading digits of \(a^n\), where \(\log_{10} a\) has a single isolated large partial quotient in its continued fraction expansion. A qualitative discussion of the graphs of \(\chi^2\) statistics is also included.
reviewed by: Robert F. Tichy
Mathematics Subject Classification ID: 11K38
Mathematics Subject Classification ID: 11K31
Mathematics Subject Classification ID: 11A55
zbMATH DE Number: 6806114
zbMATH Keywords: leading digits
zbMATH Keywords: irrational rotations
zbMATH Keywords: continued fractions
zbMATH Keywords: \(\chi^2\) statistic
MaRDI profile type: Publication
full work available at URL: s10998-016-0138-z
OpenAlex ID: W2344427690
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DOI: 10.1007/S10998-016-0138-Z
description: scientific article; zbMATH DE number 6806114