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December 2011 Construction of normal numbers by classified prime divisors of integers
Jean-Marie De Koninck, Imre Kátai
Funct. Approx. Comment. Math. 45(2): 231-253 (December 2011). DOI: 10.7169/facm/1323705815

Abstract

Given an integer $d\ge 2$, a $d$-{\it normal number}, or simply a {\it normal number}, is a real number whose $d$-ary expansion is such that any preassigned sequence, of length $k\ge 1$, of base $d$ digits from this expansion, occurs at the expected frequency, namely $1/d^k$. We construct large families of normal numbers using classified prime divisors of integers.

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Jean-Marie De Koninck. Imre Kátai. "Construction of normal numbers by classified prime divisors of integers." Funct. Approx. Comment. Math. 45 (2) 231 - 253, December 2011. https://doi.org/10.7169/facm/1323705815

Information

Published: December 2011
First available in Project Euclid: 12 December 2011

zbMATH: 1264.11068
MathSciNet: MR2895156
Digital Object Identifier: 10.7169/facm/1323705815

Subjects:
Primary: 11K16
Secondary: 11A41, 11N37

Rights: Copyright © 2011 Adam Mickiewicz University

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Vol.45 • No. 2 • December 2011
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