On the means of Jordan's totient function
type: Item
instance of: scholarly article
title: On the means of Jordan's totient function
zbMATH Open document ID: 1483.11003
author: Mohammadreza Esfandiari
published in: Bulletin of the Iranian Mathematical Society
publication date: 2021-01-05T00:00:00Z
review text: The author obtains the asymptotic behaviour of the geometric, as well as harmonic mean of the values of the Jordan totient function. He studies also the alternating sums of the Jordan totient, and the special values of the famous Carleman inequality for this function. {Reviewer's remark. Early results on Jordan's totient function have been proved by the reviewer in the papers: [Math. Stud. 52, No. 1--4, 91--96 (1990; Zbl 0854.11004); Note on Jordan's arithmetical function. Timişoara: Universitatea de Vest din Timişoara, Fac. Mat. (1989; Zbl 0758.11002)].}
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11N56
Mathematics Subject Classification ID: 11N05
zbMATH DE Number: 7290392
zbMATH Keywords: arithmetic function
zbMATH Keywords: average order
zbMATH Keywords: geometric mean
zbMATH Keywords: sum of reciprocal
zbMATH Keywords: alternating sum
reviewed by: József Sándor
MaRDI profile type: Publication
full work available at URL: s41980-020-00356-y
OpenAlex ID: W3006850282
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DOI: 10.1007/S41980-020-00356-Y
description: scientific article; zbMATH DE number 7290392