On $D_\ell$ extensions of odd prime degree $\ell$
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | COHEN, Henri | |
| hal.structure.identifier | Department of Mathematics [Columbia] | |
| dc.contributor.author | THORNE, Frank | |
| dc.date.accessioned | 2024-04-04T03:13:31Z | |
| dc.date.available | 2024-04-04T03:13:31Z | |
| dc.date.created | 2016 | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0024-6115 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193953 | |
| dc.description.abstractEn | Generalizing the work of A. Morra and the authors, we give explicit formulas for the Dirichlet series generating function of $D_ℓ$-extensions of odd prime degree $ℓ$ with given quadratic resolvent. Over the course of our proof, we explain connections between our formulas and the Ankeny-Artin-Chowla conjecture, the Ohno-Nakagawa relation for binary cubic forms, and other topics. | |
| dc.language.iso | en | |
| dc.publisher | London Mathematical Society | |
| dc.title.en | On $D_\ell$ extensions of odd prime degree $\ell$ | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1112/plms.12339 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1609.09153 | |
| dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
| bordeaux.journal | Proceedings of the London Mathematical Society | |
| bordeaux.page | 1171-1206 | |
| bordeaux.volume | 121 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01379473 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01379473v1 | |
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