On an asymptotic formula for the Niven numbers
type: Item
instance of: scholarly article
title: On an asymptotic formula for the Niven numbers
zbMATH Open document ID: 0582.10007
DOI: 10.1155/S0161171285000576
author: Curtis Cooper
author: Robert E. Kennedy
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46003
review text: The positive integer n is called a Niven number, if n is divisible by its digital sum s(n). For fixed \(k\in {\mathbb{N}}\) the authors deduce the asymptotic formula \(N_ k(x)\sim c_ k \log^ k x\) \((x\to \infty)\), where \(N_ k(x):=\#\{n\in {\mathbb{N}}:\) \(n\leq x,\quad s(n)=k\) and \(s(n)| n\}.\)
reviewed by: Winfried Recknagel
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 11N37
zbMATH DE Number: 3931101
zbMATH Keywords: asymptotic formula
zbMATH Keywords: integer divisible by digital sum
zbMATH Keywords: Niven numbers
MaRDI profile type: Publication
OpenAlex ID: W2008217321
description: scientific article; zbMATH DE number 3931101