On a system of step functions
type: Item
instance of: scholarly article
title: On a system of step functions
zbMATH Open document ID: 1005.11039
DOI: 10.1023/A:1015331119128
published in: Journal of Mathematical Sciences (New York)
publication date: 2002-08-29T00:00:00Z
review text: In connection with B. Nyman's approach to the Riemann hypothesis the following problem is considered: describe all finite sums of the form \((*)\) \(\sum c_k[x/m_k]\), \(m_k\in \mathbb{N}\), taking values in \([0,1]\); here \([t]\) denotes the integer part of \(t\). Some special cases are investigated, where the sum in \((*)\) is finite, and some conjectures are formulated.
reviewed by: Julian Musielak
Mathematics Subject Classification ID: 11M26
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 1777260
zbMATH Keywords: step function
zbMATH Keywords: Riemann hypothesis
author: V. I. Vasyunin
MaRDI profile type: Publication
full work available at URL: a:1015331119128
OpenAlex ID: W38851975
description: scientific article; zbMATH DE number 1777260