Converse prime element theorems for arithmetical semigroups

被引：0
|
作者：
Warlimont, R [1 ]
机构：
[1] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal Number Theor, ZA-2050 Wits, South Africa
来源：
MATHEMATISCHE NACHRICHTEN | 2002年 / 237卷
关键词：
arithmetical semigroups; unlabelled structures;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Conditions are presented which ensure that in an additive (multiplicative) arithmetical semigroup a positive proportion of all elements are prime elements. Under these conditions asymptotics are derived for the average number of elements with a fixed number of prime element factors, counted with and without multiplicity.
引用
收藏
页码：147 / 168
页数：22
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