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 |
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De Gruyter
2014-03-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0009/dema-2014-0009.xml?format=INT |
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doaj-5f170ccec5ef4add8cedb8350fc582e82020-11-25T01:31:30ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-03-0147112512910.2478/dema-2014-0009dema-2014-0009Certain Multiplier Version Of The Riemann Derangement TheoremWituła Roman0INSTITUTE OF MATHEMATICS SILESIAN UNIVERSITY OF TECHNOLOGY Kaszubska 23 44-100 GLIWICE, POLANDAim 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]http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0009/dema-2014-0009.xml?format=INTRiemann derangement theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wituła Roman |
| spellingShingle |
Wituła Roman Certain Multiplier Version Of The Riemann Derangement Theorem Demonstratio Mathematica Riemann derangement theorem |
| author_facet |
Wituła Roman |
| author_sort |
Wituła Roman |
| title |
Certain Multiplier Version Of The Riemann Derangement Theorem |
| title_short |
Certain Multiplier Version Of The Riemann Derangement Theorem |
| title_full |
Certain Multiplier Version Of The Riemann Derangement Theorem |
| title_fullStr |
Certain Multiplier Version Of The Riemann Derangement Theorem |
| title_full_unstemmed |
Certain Multiplier Version Of The Riemann Derangement Theorem |
| title_sort |
certain multiplier version of the riemann derangement theorem |
| publisher |
De Gruyter |
| series |
Demonstratio Mathematica |
| issn |
0420-1213 2391-4661 |
| publishDate |
2014-03-01 |
| description |
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] |
| topic |
Riemann derangement theorem |
| url |
http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0009/dema-2014-0009.xml?format=INT |
| work_keys_str_mv |
AT witułaroman certainmultiplierversionoftheriemannderangementtheorem |
| _version_ |
1725086299623260160 |