The distribution of the sum-of-digits function
type: Item
instance of: scholarly article
title: The distribution of the sum-of-digits function
zbMATH Open document ID: 0916.11049
author: Michael Drmota
author: Johannes Gajdosik
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1999-06-23T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/93708
full work available at URL: jtnb1998-1.html
review text: The authors investigate the sum-of-digits function with respect to linear recurring base sequences as considered by \textit{P. Grabner} and \textit{R. F. Tichy} [Manuscr. Math. 70, 311-324 (1991; Zbl 0725.11005)]. A central limit theorem and a local limit law are proved. The authors apply a generating function approach and asymptotic analysis tools, such as saddle point approximations.
reviewed by: Robert F. Tichy
Mathematics Subject Classification ID: 11K65
Mathematics Subject Classification ID: 11A63
Mathematics Subject Classification ID: 11B37
zbMATH DE Number: 1229645
zbMATH Keywords: sum-of-digits function
zbMATH Keywords: linear recurring base sequences
zbMATH Keywords: central limit theorem
zbMATH Keywords: local limit law
MaRDI profile type: Publication
OpenAlex ID: W1997536465
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DOI: 10.5802/JTNB.216
description: scientific article; zbMATH DE number 1229645