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.
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页码：80 / 87
页数：8
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