Another generalization of the gcd-sum function
Number Theory
2013-07-26 v1
Abstract
We investigate an arithmetic function representing a generalization of the gcd-sum function, considered by Kurokawa and Ochiai in 2009 in connection with the multivariable global Igusa zeta function for a finite cyclic group. We show that the asymptotic properties of this function are closely connected to the Piltz divisor function. A generalization of Menon's identity is also considered.
Keywords
Cite
@article{arxiv.1306.1020,
title = {Another generalization of the gcd-sum function},
author = {László Tóth},
journal= {arXiv preprint arXiv:1306.1020},
year = {2013}
}
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9 pages