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

Mathematics

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

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

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

Library availability

Discover UIUC Full Text

Cite this

@article{489671ba7c8f4926aac3531b8d9cd883,

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 = "* Research partially supported by NSF grant GP-7506.",

year = "1971",

month = may,

doi = "10.1016/0022-314X(71)90036-9",

language = "English (US)",

volume = "3",

pages = "184--203",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On the average order of a class of arithmetical functions, I

AU - Berndt, Bruce C.

N1 - * Research partially supported by NSF grant GP-7506.

PY - 1971/5

Y1 - 1971/5

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0000705606

UR - https://www.scopus.com/pages/publications/0000705606#tab=citedBy

U2 - 10.1016/0022-314X(71)90036-9

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

M3 - Article

AN - SCOPUS:0000705606

SN - 0022-314X

VL - 3

SP - 184

EP - 203

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 2

ER -

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

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this