Domain of Meromorphy of a class of Bateman-like Totien Zeta-functions
| hal.structure.identifier | Combinatoire, théorie des nombres [CTN] | |
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| hal.structure.identifier | Université Jean Monnet - Saint-Étienne [UJM] | |
| dc.contributor.author | ESSOUABRI, Driss | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | VELÁSQUEZ CASTAÑÓN, Oswaldo | |
| dc.date.accessioned | 2024-04-04T03:01:27Z | |
| dc.date.available | 2024-04-04T03:01:27Z | |
| dc.date.issued | 2020-12 | |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192902 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Bateman-like totien zeta-functions | |
| dc.subject.en | meromorphic continuation | |
| dc.subject.en | natural boundary | |
| dc.subject.en | distribution of values of arithmetic functions. | |
| dc.title.en | Domain of Meromorphy of a class of Bateman-like Totien Zeta-functions | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jnt.2019.10.026 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Journal of Number Theory | |
| bordeaux.page | 102-141 | |
| bordeaux.volume | 217 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02095938 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02095938v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Number%20Theory&rft.date=2020-12&rft.volume=217&rft.spage=102-141&rft.epage=102-141&rft.eissn=0022-314X&rft.issn=0022-314X&rft.au=ESSOUABRI,%20Driss&VEL%C3%81SQUEZ%20CASTA%C3%91%C3%93N,%20Oswaldo&rft.genre=article |
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