Exponential sums of sum-of-digit functions
type: Item
instance of: scholarly article
title: Exponential sums of sum-of-digit functions
zbMATH Open document ID: 0597.10037
author: Alan H. Stein
published in: Illinois Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let \(\beta\) (n) denote the sum of digits of the natural number n represented to base b and let \(q>0\). The author studies the function \(\phi (x)=\sum_{n<x}q^{\beta (n)}\), thereby extending results by \textit{H. Harborth} [Proc. Am. Math. Soc. 62, 19-22 (1977; Zbl 0323.10043)], \textit{K. B. Stolarsky} [SIAM J. Appl. Math. 32, 717-730 (1977; Zbl 0355.10012)] and himself [Proc. Am. Math. Soc. 80, 526-530 (1980; Zbl 0448.10011)].
reviewed by: Peter Kirschenhofer
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 11A63
zbMATH DE Number: 3961736
zbMATH Keywords: integer representations
zbMATH Keywords: sum of digits
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3961736