Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 14, Issue 1


Published
on

May 9, 2018


Pages

11-18


DOI

Article

Partitioning the Set of Primes to Create R-Dimensional Sequences Which Are Uniformly Distributed Modulo [0, 1)^R

Check for updates


Authors

Jean-Marie De Koninck Affiliation:
Departement de mathematiques Faculte des sciences et de genie Universite Laval 1045 Avenue de la medecine G1V 0A6, Quebec CANADA
and Imre Kátai Affiliation:
Department of Computer Algebra, Eötvös Loránd University, Budapest, Hungary


Abstract

Expanding on our previous results, we show that by partitioning the set of primes into a finite number of subsets of roughly the same size, we can create r-dimensional sequences of real numbers which are uniformly distributed modulo [0, 1)r.


Keywords

Uniform distribution modulo one.


Citation

De Koninck, J. & Kátai, I. (2019). Partitioning the set of primes to create r-dimensional sequences which are uniformly distributed modulo [0, 1)^R. Uniform Distribution Theory, 14(1), 11–18. https://doi.org/10.2478/udt-2019-0002

Published by: Engineering Journals

Engineering Journals Logo