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  1. Annales mathématiques du Québec
  2. Annales mathématiques du Québec : Volume 38
  3. Annales mathématiques du Québec : Volume 38, Issue 2, December 2014
  4. Normal numbers generated using the smallest prime factor function
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Annales mathématiques du Québec : Volume 41
Annales mathématiques du Québec : Volume 40
Annales mathématiques du Québec : Volume 39
Annales mathématiques du Québec : Volume 38
Annales mathématiques du Québec : Volume 38, Issue 2, December 2014
On the number of cusps of orthogonal Shimura varieties
Normal numbers generated using the smallest prime factor function
Refinements to Mumford’s theta and adelic theta groups
Linear combinations of factorials and $$S$$ -units in a binary recurrence sequence
Factorisation de fonctions positives sur le tore: Applications à l’inverse des opérateurs de Toeplitz tronqués
Annales mathématiques du Québec : Volume 38, Issue 1, June 2014
Annales mathématiques du Québec : Volume 37

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Normal numbers generated using the smallest prime factor function

Content Provider SpringerLink
Author Koninck, Jean Marie Kátai, Imre
Copyright Year 2014
Abstract In a series of papers, we constructed large families of normal numbers using the distribution of the values of the largest prime factor function. Here, letting $$p(n)$$ stand for the smallest prime factor of $$n$$ , we show how a concatenation of the successive values of $$p(n)$$ can yield a normal number in any given basis $$q\ge 2$$ . We further expand on this idea to create various large families of normal numbers.Dans une série d’articles, nous avons construit de grandes familles de nombres normaux en utilisant les valeurs successives prises par la fonction lq “plus grand facteur premier”. Ici, en désignant par $$p(n)$$ le plus petit facteur premier de l’entier $$n$$ , nous montrons comment une concaténation des valeurs successives de $$p(n)$$ peut créer un nombre normal dans n’importe quelle base $$q\ge 2$$ . Nous exploitons ensuite cette idée pour créer une grande variété de familles de nombres normaux.
Starting Page 133
Ending Page 144
Page Count 12
File Format PDF
ISSN 21954755
Journal Annales mathématiques du Québec
Volume Number 38
Issue Number 2
e-ISSN 21954763
Language English
Publisher Springer International Publishing
Publisher Date 2014-11-20
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Algebra Analysis Smallest prime factor Normal numbers Mathematics Number Theory Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. Asymptotic results on arithmetic functions
Content Type Text
Resource Type Article
Subject Mathematics
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