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Partitioning the Set of Primes to Create r-Dimensional Sequences Which are Uniformly Distributed Modulo [0, 1)r

Jean-Marie De Koninck

Jean-Marie De Koninck

Département mathématiques et statistique, UniversitéLavalQuébec, Canada
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De Koninck, Jean-Marie
 and 
Imre Kátai

Imre Kátai

Department of Computer Algebra, Eötvös Loránd UniversityBudapest, Hungary
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Kátai, Imre
  
Mar 27, 2020
Partitioning the Set of Primes to Create r-Dimensional Sequences Which are Uniformly Distributed Modulo [0, 1)r's Cover Image
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Published Online: Mar 27, 2020
Page range: 11 - 18
Received: Dec 13, 2017
Accepted: May 09, 2018
DOI: https://doi.org/10.2478/udt-2019-0002
Keywords
© 2019 Jean-Marie De Koninck et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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.

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English
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2 times per year
Journal Subjects:
Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics
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