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On the Means of Jordan's Totient Function.

Authors :
Esfandiari, Mohammadreza
Source :
Bulletin of the Iranian Mathematical Society. Dec2020, Vol. 46 Issue 6, p1753-1765. 13p.
Publication Year :
2020

Abstract

In this paper, we study some important means of Jordan's totient function, especially, we obtain asymptotic formula for geometric mean and harmonic mean. We also study alternating sums of Jordan's totient function and Carleman's inequality for this function. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10186301
Volume :
46
Issue :
6
Database :
Academic Search Index
Journal :
Bulletin of the Iranian Mathematical Society
Publication Type :
Academic Journal
Accession number :
146680377
Full Text :
https://doi.org/10.1007/s41980-020-00356-y