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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0144-6,
author = {Ekkehard Kr\"atzel and Werner Nowak and L\'aszl\'o T\'oth},
title = {On certain arithmetic functions involving the greatest common divisor},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {761-774},
zbl = {1285.11120},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0144-6}
}
Ekkehard Krätzel; Werner Nowak; László Tóth. On certain arithmetic functions involving the greatest common divisor. Open Mathematics, Tome 10 (2012) pp. 761-774. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0144-6/
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