Théorème de Chebotarev effectif
| hal.structure.identifier | Équipe Théorie des Nombres | |
| dc.contributor.author | WINCKLER, Bruno | |
| dc.date.accessioned | 2024-04-04T02:20:57Z | |
| dc.date.available | 2024-04-04T02:20:57Z | |
| dc.date.created | 2013-11-07 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189532 | |
| dc.description.abstractEn | Let K be a number field, and L be a finite normal extension of K with Galois group G. It is known that the number of Frobenius automorphisms corresponding to prime ideals, whose norms are less than x, is equivalent to the logarithmic integral as x tends to infinity, and these automorphisms are well-distributed among the conjugacy classes of G : this is the Chebotarev theorem. The purpose of this paper is to compute the absolute constants of the error term appearing in a previous work about this theorem, due to Lagarias and Odlyzko. | |
| dc.language.iso | fr | |
| dc.subject.en | prime ideals | |
| dc.subject.en | chebotarev | |
| dc.subject.en | density theorem | |
| dc.subject.en | zeta-function | |
| dc.title | Théorème de Chebotarev effectif | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00907410 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00907410v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Th%C3%A9or%C3%A8me%20de%20Chebotarev%20effectif&rft.atitle=Th%C3%A9or%C3%A8me%20de%20Chebotarev%20effectif&rft.au=WINCKLER,%20Bruno&rft.genre=preprint |
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