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Certain Liouville series
The main results of this paper give two criteria for certain infinite series of rational numbers to be Liouville. Some examples are also included.Keywords: Liouville numbers, InfiniteExpand
  • 3
A Generalization of Sandor's Theorem
  • 1
The irrationality of infinite series of a special kind
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 reccurenceExpand
  • 4
On summing to arbitrary real numbers
Following Erdős [1] we say a sequence {an}∞n=1 is irrational if the set { ∑ n≥1 1 ancn | cn ∈ N}, which we refer to henceforth as its expressible set, contains no rational numbers. In [1] it is shownExpand
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Pokroky matematiky, fyziky a astronomie
While the Science Olympiads have a long tradition, the new competition of the 21st century European Union Science Olympiad (EUSO) has not even reached ten years. Annually young people aged around 16Expand