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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
 et 
Imre Kátai
Imre Kátai
   | 27 mars 2020
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Uniform distribution theory
Édition 14 (2019): Edition 1 (June 2019)
The sixth International Conference on Uniform Distribution Theory (UDT 2018) CIRM, Luminy, Marseilles, France, October 1–5, 2018
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Publié en ligne: 27 mars 2020
Pages: 11 - 18
Reçu: 13 déc. 2017
Accepté: 09 mai 2018
DOI: https://doi.org/10.2478/udt-2019-0002
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© 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.

eISSN:
2309-5377
Langue:
Anglais
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2 fois par an
Sujets de la revue:
Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics
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