Certain Multiplier Version Of The Riemann Derangement Theorem

Aim of this paper is to consider a problem formulated in [6]. Namely, it has been proven that for any sequences , , for every interval [a, b] ⊂ [-∞,∞], there exist a nondecreasing sequence {kn}∞n=1 of positive integers and a sequence {εn}∞n=1 of ±1 signs such that the set of limit points of the seri...

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Bibliographic Details
Main Author: Wituła Roman
Format: Article
Language:English
Published: De Gruyter 2014-03-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0009/dema-2014-0009.xml?format=INT
Description
Summary:Aim of this paper is to consider a problem formulated in [6]. Namely, it has been proven that for any sequences , , for every interval [a, b] ⊂ [-∞,∞], there exist a nondecreasing sequence {kn}∞n=1 of positive integers and a sequence {εn}∞n=1 of ±1 signs such that the set of limit points of the series ∑εnxknan is equal to [a, b]
ISSN:0420-1213
2391-4661