On one type of compactification of positive integers

Milan Paštéka

doi:10.1515/tmmp-2015-0046

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On one type of compactification of positive integers

Tatra Mountains Mathematical Publications

Volume 64 (2015): Issue 1 (September 2015)

By: Milan Paštéka

Open Access

|Feb 2016

Abstract

The object of observation is a compact metric ring containing positive integers as dense subset. It is proved that this ring is isomorphic with a ring of reminder classes of polyadic integers.

References

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[N1] NOVOSELOV, E. V.: New method in the probability number theory, Doklady Akademii Nauk. Ser. Mat. 28 (1964) no. 2, 307-364. (In Russian)
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[P] PAŠTÉKA, M.: Covering densities, Math. Slovaca 42 (1992), 593-614.
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[Po] POSTNIKOV, R.G.: Introduction to Analytic Number Theory. Moscov, Nauka, 1971. (In Russian); Amer. Math. Soc., Providence RI, 1981 (English translation).
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[P-P] PAŠTÉKA, M.-PORUBSKÝ, Š.: On the distribution on the sequences of integers, Math. Slovaca 43 (1993), 521-639.
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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2015-0046 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 127 - 131

Submitted on: Oct 12, 2015

Published on: Feb 19, 2016

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

density,

polyadic integers

Related subjects:

Mathematics,

General mathematics

© 2016 Milan Paštéka, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 64 (2015): Issue 1 (September 2015)