CONSTRUCTION OF NORMAL NUMBERS BY CLASSIFIED PRIME DIVISORS OF INTEGERS

被引：0
|
作者：
De Koninck, Jean-Marie [1 ]
Katai, Imre [2 ]
机构：
[1] Univ Laval, Dep Math, Laval, PQ G1V 0A6, Canada
[2] Eotvos Lorand Univ, Comp Algebra Dept, H-1117 Budapest, Hungary
来源：
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2011年 / 45卷 / 02期
关键词：
normal numbers; primes; shifted primes; arithmetic function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given an integer d >= 2, a d-normal number, or simply a normal number, is a real number whose d-ary expansion is such that any preassigned sequence, of length k >= 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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页码：231 / 253
页数：23
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