On Strong Normality

Jean-Marie De Koninck; Imre Kátai; Bui Minh Phong

doi:10.1515/udt-2016-0005

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On Strong Normality

Uniform distribution theory

Volume 11 (2016): Issue 1 (June 2016)

By: Jean-Marie De Koninck, Imre Kátai and Bui Minh Phong

Open Access

|Jan 2017

Abstract

We introduce the concept of strong normality by defining strong normal numbers and provide various properties of these numbers, including the fact that almost all real numbers are strongly normal.

References

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Articles in this issue

DOI: https://doi.org/10.1515/udt-2016-0005 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X

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Language: English

Page range: 59 - 78

Submitted on: Feb 26, 2015

Accepted on: Sep 7, 2015

Published on: Jan 13, 2017

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

normal numbers,

uniform distribution modulo 1

Related subjects:

Mathematics,

Algebra and number theory,

Discrete mathematics,

Probability and statistics,

Numerical and computational mathematics

© 2017 Jean-Marie De Koninck, Imre Kátai, Bui Minh Phong, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 11 (2016): Issue 1 (June 2016)