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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Format: | Article |
Language: | English |
Published: |
De Gruyter
2014-03-01
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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 |
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] |
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ISSN: | 0420-1213 2391-4661 |