Average growth-behavior and distribution properties of generalized weighted digit-block-\-counting functions
type: Item
instance of: scholarly article
title: Average growth-behavior and distribution properties of generalized weighted digit-block-\-counting functions
zbMATH Open document ID: 1169.11006
author: Roswitha Hofer
author: Gerhard Larcher
author: Friedrich Pillichshammer
published in: Monatshefte für Mathematik
publication date: 2008-08-19T00:00:00Z
review text: The authors study a generalization of several digit functions in form of a block-counting function depending on a sequence of real weights. In particular this generalizes the classical sum-of-digits function. They derive a formula for the first order moments of these functions and use this result in order to establish a Delange type result for these moments in the instance where the weight sequence converges. In the second part of the paper distribution properties of generalized weighted digit-block-counting sequences are studied, in particular a necessary and sufficient condition is presented under which such sequences are uniformly distributed modulo one.
reviewed by: Peter Kirschenhofer
Mathematics Subject Classification ID: 11A63
Mathematics Subject Classification ID: 11K06
Mathematics Subject Classification ID: 11K65
zbMATH DE Number: 5313117
zbMATH Keywords: digit-block-counting function
zbMATH Keywords: digit functions
MaRDI profile type: Publication
full work available at URL: s00605-007-0513-1
OpenAlex ID: W1987920061
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DOI: 10.1007/S00605-007-0513-1
description: scientific article; zbMATH DE number 5313117