On the distribution modulo 1 of q-additive functions

被引：3

作者：

Kim, DH ^{[1
]}

机构：

[1] Natl Computerizat Agcy, Seoul, South Korea

来源：

ACTA MATHEMATICA HUNGARICA | 2001年 / 90卷 / 1-2期

关键词：

Distribution Function; Asymptotic Behavior; Limit Distribution; Kluwer Acad; Arithmetic Function;

D O I：

10.1023/A:1006783724203

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

We consider the asymptotic behavior of the distribution functions defined by FN(z) = 1/N#{1 less than or equal to n less than or equal to N : f(n) less than or equal to z (mod 1)} in the case when f is q-additive. We give necessary and sufficient conditions for a q-additive function to have a uniform distribution module 1 or to have a nonuniform distribution module 1.

引用

页码：75 / 83

页数：9