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Domain of meromorphy of a class of Bateman-like totient zeta functions

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dc.contributor.author Essouabri, Driss es_PE
dc.contributor.author Velásquez Castañón, Oswaldo es_PE
dc.date.accessioned 2024-05-30T23:13:38Z
dc.date.available 2024-05-30T23:13:38Z
dc.date.issued 2020
dc.description.abstract The main result of this paper describes the meromorphic continuation of a class of Bateman-like totient zeta function associated to a special class of arithmetical multiplicative functions, discovering a comb-like form of the region of meromorphic continuation, and verifying the expected natural boundary by clustering logarithmic type singularities. Then, a standard application of the Selberg-Delange classical method allows us to derive the distribution of values of a class of multivariate multiplicative functions. We also use Balazard-Diamond convolution method to improve in some cases the error term given by Selberg-Delange classical method. © 2020 Elsevier Inc.
dc.description.sponsorship Fondo Nacional de Desarrollo Científico y Tecnológico - Fondecyt
dc.identifier.doi https://doi.org/10.1016/j.jnt.2019.10.026
dc.identifier.scopus 2-s2.0-85089297153
dc.identifier.uri https://hdl.handle.net/20.500.12390/2440
dc.language.iso eng
dc.publisher Academic Press Inc.
dc.relation.ispartof Journal of Number Theory
dc.rights info:eu-repo/semantics/openAccess
dc.subject Natural boundary
dc.subject Bateman-like totient zeta-functions es_PE
dc.subject Distribution of values of arithmetic functions es_PE
dc.subject Meromorphic continuation es_PE
dc.subject.ocde http://purl.org/pe-repo/ocde/ford#2.04.01
dc.title Domain of meromorphy of a class of Bateman-like totient zeta functions
dc.type info:eu-repo/semantics/article
dspace.entity.type Publication
oairecerif.author.affiliation #PLACEHOLDER_PARENT_METADATA_VALUE#
oairecerif.author.affiliation #PLACEHOLDER_PARENT_METADATA_VALUE#
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