On the average order of some arithmetical functions

Bruce C. Berndt

doi:10.1090/S0002-9904-1970-12585-X

On the average order of some arithmetical functions

Bruce C. Berndt

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a large class of arithmetical functions generated by Dirichlet series satisfying a functional equation with gamma factors. Our objective is to state some Ω results for the average order of these arithmetical functions.

Original language	English (US)
Pages (from-to)	856-859
Number of pages	4
Journal	Bulletin of the American Mathematical Society
Volume	76
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9904-1970-12585-X
State	Published - Jul 1970

Keywords

Arithmetical function
Average order
Dirichlet series
Functional equation with gamma factors

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Online availability

10.1090/S0002-9904-1970-12585-X

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abstract = "We consider a large class of arithmetical functions generated by Dirichlet series satisfying a functional equation with gamma factors. Our objective is to state some Ω results for the average order of these arithmetical functions.",

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On the average order of some arithmetical functions

Abstract

Keywords

ASJC Scopus subject areas

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