Digital expansions with respect to different bases
type: Item
instance of: scholarly article
title: Digital expansions with respect to different bases
zbMATH Open document ID: 1026.11014
author: Michael Drmota
author: Johannes Schoissengeier
published in: Monatshefte für Mathematik
publication date: 2003-12-15T00:00:00Z
review text: The authors study the distribution and the average of the \(k\)th digit in the base \(g\)-expansion of \(N\), when \(g\) varies in the interval \([2,N']\). They also study the average of the sum of digits in the same framework. Their method consists of fine evaluations of exponential sums and ``\(\psi\)-sums'', where \(\psi\) is the first Bernoulli polynomial (i.e., \(\psi(x)= x-\lfloor x\rfloor- \frac 12\)).
Mathematics Subject Classification ID: 11A63
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 11K16
Mathematics Subject Classification ID: 11L07
zbMATH DE Number: 1942705
zbMATH Keywords: digits in base \(g\)-expansion
zbMATH Keywords: average of the sum of digits
zbMATH Keywords: evaluations of exponential sums
reviewed by: Jean-Paul Allouche
MaRDI profile type: Publication
full work available at URL: s006050300000
OpenAlex ID: W2079958870
DOI: 10.1007/S006050300000
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description: scientific article; zbMATH DE number 1942705