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2012 | 10 | 2 | 761-774
Tytuł artykułu

On certain arithmetic functions involving the greatest common divisor

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EN
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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Bibliografia
  • [1] Bombieri E., Iwaniec H., On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 1986, 13(3), 449–472
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  • [8] Iwaniec H., Mozzochi C.J., On the divisor and circle problems, J. Number Theory, 1988, 29(1), 60–93 http://dx.doi.org/10.1016/0022-314X(88)90093-5
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  • [16] Tóth L., Menon’s identity and arithmetical sums representing functions of several variables, Rend. Semin. Mat. Univ. Politec. Torino, 2011, 69(1), 97–110
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Bibliografia
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bwmeta1.element.doi-10_2478_s11533-011-0144-6
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