Abstract
The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
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Krätzel, E., Nowak, W.G. & Tóth, L. On certain arithmetic functions involving the greatest common divisor. centr.eur.j.math. 10, 761–774 (2012). https://doi.org/10.2478/s11533-011-0144-6
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DOI: https://doi.org/10.2478/s11533-011-0144-6