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

Rimantas Skrabutėnas

doi:10.15388/LMR.2004.31873

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Rimantas Skrabutėnas

Vilnius Pedagogical University

Published 2004-12-17

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

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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.

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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.

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