On the average order of a class of arithmetical functions, I

Bruce C. Berndt

doi:10.1016/0022-314X(71)90036-9

On the average order of a class of arithmetical functions, I

Bruce C. Berndt

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

Abstract

We consider a class of arithmetical functions generated by Dirichlet series satisfying functional equations with Γ-factors. We examine the average order of such arithmetical functions and obtain Ω-results. Results of Hardy, Szegö, and Walfisz are obtained as special cases.

Original language	English (US)
Pages (from-to)	184-203
Number of pages	20
Journal	Journal of Number Theory
Volume	3
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(71)90036-9
State	Published - May 1971
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-314X(71)90036-9

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title = "On the average order of a class of arithmetical functions, I",

abstract = "We consider a class of arithmetical functions generated by Dirichlet series satisfying functional equations with Γ-factors. We examine the average order of such arithmetical functions and obtain Ω-results. Results of Hardy, Szeg{\"o}, and Walfisz are obtained as special cases.",

author = "Berndt, {Bruce C.}",

note = "Funding Information: * Research partially supported by NSF grant GP-7506.",

year = "1971",

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AB - We consider a class of arithmetical functions generated by Dirichlet series satisfying functional equations with Γ-factors. We examine the average order of such arithmetical functions and obtain Ω-results. Results of Hardy, Szegö, and Walfisz are obtained as special cases.

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On the average order of a class of arithmetical functions, I

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