Asymptotic formulae concerning arithmetical functions defined by cross-convolutions .1. Divisor-sum functions and Euler-type functions

被引：0

作者：

Toth, L ^{[1
]}

机构：

[1] UNIV BABES BOLYAI,FAC MATH & COMP SCI,RO-3400 CLUJ NAPOCA,ROMANIA

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 1997年 / 50卷 / 1-2期

关键词：

Narkiewicz's regular convolution; divisor-sum function; Euler's function; asymptotic formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of cross-convolution of arithmetical functions as a special case of Narkiewicz's regular convolution. We give asymptotic formulae for the summatory functions of certain generalized divisor-sum functions and Euler-type functions related to cross-convolutions and td arbitrary sets of positive integers. These formulae generalize and unify many known results concerning the corresponding usual and unitary functions.

引用

页码：159 / 176

页数：18

共 26 条

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