Counting Cubic Extensions with given Quadratic Resolvent
| 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 | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | MORRA, Anna | |
| dc.date.accessioned | 2024-04-04T02:29:17Z | |
| dc.date.available | 2024-04-04T02:29:17Z | |
| dc.date.created | 2010-03-09 | |
| dc.date.issued | 2011-01-01 | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190162 | |
| dc.description.abstractEn | Given a number field $k$ and a quadratic extension $K_2$, we give an explicit asymptotic formula for the number of isomorphism classes of cubic extensions of $k$ whose Galois closure contains $K_2$ as quadratic subextension, ordered by the norm of their relative discriminant ideal. The main tool is Kummer theory. We also study in detail the error term of the asymptotics and show that it is $O(X^{\alpha})$, for an explicit $\alpha<1$. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Counting Cubic Extensions with given Quadratic Resolvent | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jalgebra.2010.08.027 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1003.1869 | |
| bordeaux.journal | Journal of Algebra | |
| bordeaux.page | 461-478 | |
| bordeaux.volume | 325 | |
| 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-00463533 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00463533v1 | |
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