The local limit theorem of Delange in the Knopfmacher's semigroup

An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G)  with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.

Bibliographic Details
Main Author: Rimantas Skrabutėnas
Format: Article
Language:English
Published: Vilnius University Press 2004-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/31873
Description
Summary:An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G)  with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
ISSN:0132-2818
2335-898X