加性函数和正则变分的求和函数

Publications De L'institut Mathematique Pub Date : 2003-11-20 DOI:10.2298/PIM0271027I

A. Ivi'c

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引用次数: 1

摘要

摘要综述了一类加性函数的求和函数的渐近性的一些结果和问题。所讨论的这类函数涉及正则变分。得到了形式为F(n)=Sigma ah(p)， p^ α ||n的加性函数的一些新的阿贝尔和陶贝尔结果。

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On summatory functions of additive functions and regular variation

An overview of results and problems concerning the asymptotic behaviour for summatory functions of a certain class of additive functions is given. The class of functions in question involves regular variation. Some new Abelian and Tauberian results for additive functions of the form F(n)=Sigma ah(p), p^alpha||n, are obtained. .

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Publications De L'institut Mathematique

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