Some remarks on additive arithmetical semigroups. II

Author:

Karl-Heinz INDLEKOFER

AMS Classification:

11N05, 11N45, 11N86, 11K65

Keywords:

additive arithmetical semigroups, multiplicative functions, prime number theorem

Abstract:

In this paper, we prove quantitative estimates for the prime number theorem in additive arithmetical semigroups. Furthermore, we investigate the mean-behaviour of completely multiplicative functions defined on Beurling-type arithmetical semigroups.

Download paper:

Indlekofer-09.pdf

Vol. 4 (12), 2009