Dirichlet series associated to quartic fields with given cubic resolvent
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | COHEN, Henri | |
| hal.structure.identifier | Department of Mathematics [Columbia] | |
| dc.contributor.author | THORNE, Frank | |
| dc.date.accessioned | 2024-04-04T02:21:40Z | |
| dc.date.available | 2024-04-04T02:21:40Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 2363-9555 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189594 | |
| dc.description.abstractEn | Let $k$ be a cubic field. We give an explicit formula for the Dirichlet series $\sum_K|\Disc(K)|^{-s}$, where the sum is over isomorphism classes of all quartic fields whose cubic resolvent field is isomorphic to $k$. Our work is a sequel to an unpublished preprint of Cohen, Diaz y Diaz, and Olivier, and we include complete proofs of their results so as not to rely on unpublished work. This is a companion to a previous paper where we compute the Dirichlet series associated to cubic fields having a given quadratic resolvent. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.title.en | Dirichlet series associated to quartic fields with given cubic resolvent | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s40993-015-0001-y | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1302.5728 | |
| dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
| bordeaux.journal | Research in Number Theory | |
| bordeaux.page | 1-40 | |
| bordeaux.volume | 2 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 29 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00854664 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00854664v1 | |
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