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

页码：147 / 168

页数：22

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