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math.NT2015
On one type of compactification of positive integers
Milan Pasteka
A compact metric ring containing the set of positive integers as dense subset is studied. It is proven that tis ring is isomorph with a ring of reminder classes of ring of polyadic…
math.FA2015
Uniform distribution with respect to density
Ligia L. Cristea, Milan Pasteka
The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.
math.CA2015
Measure density for set decompositions and uniform distribution
Maria Rita Iacò, Milan Paštéka, Robert F. Tichy
The aim of this paper is to extend the concept of measure density introduced by Buck for finite unions of arithmetic progressions, to arbitrary subsets of N defined by a given syst…