# On certain arithmetic functions involving the greatest common divisor

Ekkehard Krätzel; Werner Nowak; László Tóth

Open Mathematics (2012)

- Volume: 10, Issue: 2, page 761-774
- ISSN: 2391-5455

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topEkkehard Krätzel, Werner Nowak, and László Tóth. "On certain arithmetic functions involving the greatest common divisor." Open Mathematics 10.2 (2012): 761-774. <http://eudml.org/doc/269485>.

@article{EkkehardKrätzel2012,

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.},

author = {Ekkehard Krätzel, Werner Nowak, László Tóth},

journal = {Open Mathematics},

keywords = {Arithmetic functions; Greatest common divisor; Asymptotic formulas; arithmetic functions; greatest common divisor; asymptotic formulas},

language = {eng},

number = {2},

pages = {761-774},

title = {On certain arithmetic functions involving the greatest common divisor},

url = {http://eudml.org/doc/269485},

volume = {10},

year = {2012},

}

TY - JOUR

AU - Ekkehard Krätzel

AU - Werner Nowak

AU - László Tóth

TI - On certain arithmetic functions involving the greatest common divisor

JO - Open Mathematics

PY - 2012

VL - 10

IS - 2

SP - 761

EP - 774

AB - 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.

LA - eng

KW - Arithmetic functions; Greatest common divisor; Asymptotic formulas; arithmetic functions; greatest common divisor; asymptotic formulas

UR - http://eudml.org/doc/269485

ER -

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