UNCONDITIONAL CHEBYSHEV BIASES IN NUMBER FIELDS
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LMO] | |
| dc.contributor.author | FIORILLI, Daniel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JOUVE, Florent | |
| dc.date.accessioned | 2024-04-04T02:41:48Z | |
| dc.date.available | 2024-04-04T02:41:48Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191182 | |
| dc.description.abstractEn | We study densities introduced in the works of Rubinstein-Sarnak and Ng which measure the Chebyshev bias in the distribution of Frobenius elements of prime ideals in a Galois extension of number fields. Using the Rubinstein-Sarnak framework, Ng has shown the existence of these densities and has computed several explicit examples, under the assumption of the Artin holomorphy conjecture, the Generalized Riemann Hypothesis, as well as a linear independence hypothesis on the zeros of Artin L-functions. In this paper we show the existence of an infinite family of Galois extensions L/K and associated conjugacy classes C1, C2 of Gal(L/K) for which the densities can be computed unconditionally. | |
| dc.language.iso | en | |
| dc.title.en | UNCONDITIONAL CHEBYSHEV BIASES IN NUMBER FIELDS | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| 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-03088071 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03088071v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=FIORILLI,%20Daniel&JOUVE,%20Florent&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||