A generalization of a theorem by Cheo and Yien concerning digital sums
type: Item
instance of: scholarly article
title: A generalization of a theorem by Cheo and Yien concerning digital sums
zbMATH Open document ID: 0604.10025
DOI: 10.1155/S0161171286001011
author: Curtis Cooper
author: Robert E. Kennedy
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46111
review text: For a non-negative integer n, let s(n) denote the digital sum of n. \textit{P. Cheo} and \textit{S. Yien} [Acta Math. Sin. 5, 433-438 (1955; Zbl 0068.266)] proved that for a positive integer x, the sum of the terms of the sequence \(\{\) s(n): \(n=0,1,2,...,(x-1)\}\) is (4.5)x log x\(+O(x)\). In this paper we let k be a positive integer and determine that the sum of the sequence \(\{\) s(kn): \(n=0,1,2,...,(x-1)\}\) is also (4.5)x log x\(+O(x)\) where the constant depends on k.
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11A63
zbMATH DE Number: 3975032
zbMATH Keywords: asymptotic result
zbMATH Keywords: digital
MaRDI profile type: Publication
OpenAlex ID: W1970895335
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description: scientific article; zbMATH DE number 3975032