Domain of Meromorphy of a class of Bateman-like Totien Zeta-functions
ESSOUABRI, Driss
Combinatoire, théorie des nombres [CTN]
Institut Camille Jordan [ICJ]
Université Jean Monnet - Saint-Étienne [UJM]
Combinatoire, théorie des nombres [CTN]
Institut Camille Jordan [ICJ]
Université Jean Monnet - Saint-Étienne [UJM]
ESSOUABRI, Driss
Combinatoire, théorie des nombres [CTN]
Institut Camille Jordan [ICJ]
Université Jean Monnet - Saint-Étienne [UJM]
< Réduire
Combinatoire, théorie des nombres [CTN]
Institut Camille Jordan [ICJ]
Université Jean Monnet - Saint-Étienne [UJM]
Langue
en
Article de revue
Ce document a été publié dans
Journal of Number Theory. 2020-12, vol. 217, p. 102-141
Elsevier
Résumé en anglais
The main result of this paper describe the meromorphic continuationof of a class of Bateman-like totien zeta function associated to a specialclass of arithmetical multiplicative functions, discovering a comb-like form ofthe ...Lire la suite >
The main result of this paper describe the meromorphic continuationof of a class of Bateman-like totien zeta function associated to a specialclass of arithmetical multiplicative functions, discovering a comb-like form ofthe region of meromorphic continuation, and we verify the expected naturalboundary by clustering logarithmic type singularities. A standard applicationof the Selberg-Delange classical method allows then us to derive in additionthe distribution of values of a class of multivariate multiplicative functions.< Réduire
Mots clés en anglais
Bateman-like totien zeta-functions
meromorphic continuation
natural boundary
distribution of values of arithmetic functions.
Origine
Importé de halUnités de recherche