Some remarks on additive arithmetical semigroups

被引：0
|
作者：
Indlekofer K.-H. [1 ]
机构：
[1] Faculty of Mathematics and Informatics, University of Padeborn, 33098 Paderborn
来源：
Lithuanian Mathematical Journal | 2002年 / 42卷 / 2期
关键词：
Additive arithmetical semigroup; Arithmetic function; Chebyshev estimate; Mean value; Prime factor;
D O I：
10.1023/A:1016110209755
中图分类号：
学科分类号：
摘要：
Under weak conditions called axioms A1 and A2, we prove Chebyshev-type estimates and asymptotic formulas, respectively, for the prime elements in general additive arithmetical semigroups. As applications, we derive asymptotic laws for the mean behavior of prime divisor functions and of distinct degrees of prime factors. © 2002 Plenum Publishing Corporation.
引用
收藏
页码：146 / 162
页数：16
相关论文
共 50 条
12345