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

Rimantas Skrabutėnas

doi:10.15388/LMR.2004.31873

Articles

Rimantas Skrabutėnas

Vilnius Pedagogical University

Published 2004-12-17

https://doi.org/10.15388/LMR.2004.31873

PDF

Keywords

arithmetic function
asymptotic behaviour of mean values
limit distributions

How to Cite

Skrabutėnas, R. (2004) “The local limit theorem of Delange in the Knopfmacher’s semigroup”, Lietuvos matematikos rinkinys, 44(spec.), pp. 105–109. doi:10.15388/LMR.2004.31873.

Download Citation

Abstract

An asymptotic formula of the mean value of multiplicative arithmetic function from the class M_a(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.

PDF

This work is licensed under a Creative Commons Attribution 4.0 International License.

Downloads

Download data is not yet available.

Most read articles in this journal

Rimantas Skrabutėnas, Multidimensional local theorem in the Knopfmachers semigroup , Lietuvos matematikos rinkinys: Vol. 47 (2007)
Eugenijus Manstavičius, Rimantas Skrabutėnas, An analytic problem in combinatorial structures , Lietuvos matematikos rinkinys: Vol. 40 (2000)
Rimantas Skrabutėnas, Asymptotical expansions in the Kubilius theorem of large deviations , Lietuvos matematikos rinkinys: Vol. 45 (2005)
Rimantas Skrabutėnas, The effective use of remainder term estimation in the limit theorems , Lietuvos matematikos rinkinys: Vol. 43 (2003)
Rimantas Skrabutėnas, Asymtotical expansions in local limit theorem of large deviations , Lietuvos matematikos rinkinys: Vol. 42 (2002)
Rimantas Skrabutėnas, The local limit theorem of large deviations for multiplicative functions , Lietuvos matematikos rinkinys: Vol. 41 (2001)
Rimantas Skrabutėnas, Local distributions of multiplicative functions , Lietuvos matematikos rinkinys: No. III (1999)