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arXiv · 1306.1020

Another generalization of the gcd-sum function

László Tóth
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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.

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László Tóth. 2013-06-05. Another generalization of the gcd-sum function. https://doi.org/10.1007/s40065-013-0077-y

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