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The irrationality of infinite series of a special kind

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Published/Copyright: November 3, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 4

Abstract

The main results of this paper give several criteria for certain infinite series of rational numbers to be irrational, transcendental or Liouville. Criteria are based on specific reccurence relations. Several examples are included.

MSC 2010: Primary 11J72; 11J82
Keywords: irrationality; transcendence; Liouville number; infinite series

Communicated by Stanislav Jakubec

References

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Received: 2013-1-19
Accepted: 2014-4-1
Published Online: 2016-11-3
Published in Print: 2016-8-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0182
Keywords for this article
irrationality; transcendence; Liouville number; infinite series

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  9. Research Article
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  12. On skew-commuting mappings in semiprime rings
  13. Research Article
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