ON THE MULTIPLICATIVE GROUP GENERATED BY {[√2n]/n | n ∈N}

被引：0

作者：

Katai, I. ^{[1
]}

Phong, B. M. ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Fac Informat, Dept Comp Algebra, H-1117 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2015年 / 145卷 / 01期

关键词：

completely additive functions; multiplicative group;

D O I：

10.1007/s10474-014-0464-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the multiplicative group generated by {[root 2n]/n vertical bar n is an element of N} is the group of positive rational numbers. It is proved that if a completely additive function f satisfying f ([root 2n]) - f(n) -> C(n -> infinity) some real number C, then f(n) = A log n, where A = 2C/log 2.

引用

页码：80 / 87

页数：8

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