Sums of averages of gcd-sum functions
type: Item
instance of: scholarly article
title: Sums of averages of gcd-sum functions
zbMATH Open document ID: 1422.11198
author: Isao Kiuchi
published in: Journal of Number Theory
publication date: 2017-03-28T00:00:00Z
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11P99
zbMATH DE Number: 6697572
zbMATH Keywords: \(\gcd\)-sum functions
zbMATH Keywords: Euler totient function
zbMATH Keywords: Dedekind function
zbMATH Keywords: Anderson-Apostol sums
zbMATH Keywords: Dirichlet divisor problem
zbMATH Keywords: asymptotic results on arithmetical functions
MaRDI profile type: Publication
full work available at URL: j.jnt.2016.12.021
OpenAlex ID: W2586742570
cites work: The evaluation of Ramanujan's sum and generalizations
cites work: Arithmetical properties of generalized Ramanujan sums
cites work: Q4101884
cites work: Q5387490
cites work: Q3580565
cites work: Exponential Sums and Lattice Points III
cites work: Sums of products of generalized Ramanujan sums
cites work: A zero-density theorem for the Riemann zeta-function
cites work: Q3728085
cites work: An explicit formula for sums of Ramanujan type sums
cites work: Sums of averages of generalized Ramanujan sums
cites work: Q4972478
cites work: Introduction to arithmetical functions
cites work: Q4755181
cites work: A Brun-Titschmarsh theorem for multiplicative functions.
cites work: Q4040809
cites work: Q3536754
cites work: Q3580573
cites work: Q3093770
cites work: Q5523060
DOI: 10.1016/J.JNT.2016.12.021
Recommended article: Sums of averages of gcd-sum functions. II
Recommended article: Sums of weighted averages of gcd-sum functions
Recommended article: Sums of logarithmic averages of gcd-sum functions
Recommended article: On sums of gcd-sum functions
Recommended article: Sums of weighted averages of gcd-sum functions. II
Recommended article: Q5387482
Recommended article: Q3536754
Recommended article: Q5387490
Recommended article: Q5387532
Recommended article: Q5404330
description: scientific article; zbMATH DE number 6697572