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]
< Reduce
Combinatoire, théorie des nombres [CTN]
Institut Camille Jordan [ICJ]
Université Jean Monnet - Saint-Étienne [UJM]
Language
en
Article de revue
This item was published in
Journal of Number Theory. 2020-12, vol. 217, p. 102-141
Elsevier
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Bateman-like totien zeta-functions
meromorphic continuation
natural boundary
distribution of values of arithmetic functions.
Origin
Hal imported