On certain arithmetic functions involving the greatest common divisor

• Autorzy: Ekkehard Krätzel , Werner Nowak , László Tóth
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

Arithmetic functions; Greatest common divisor; Asymptotic formulas

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11A25: Arithmetic functions; related numbers; inversion formulas
• 11L07: Estimates on exponential sums
• 11A05: Multiplicative structure; Euclidean algorithm; greatest common divisors

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 761-774

Daty

wydano

2012-04-01

online

2012-01-18

Twórcy

autor

Ekkehard Krätzel

• University of Vienna

autor

Werner Nowak

• BOKU Wien

autor

László Tóth

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0144-6