Moments in the Chebotarev density theorem: non-Gaussian families
hal.structure.identifier | Institut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)] | |
dc.contributor.author | DE LA BRETÈCHE, Régis | |
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 | 2024-04-04T02:35:49Z | |
dc.date.available | 2024-04-04T02:35:49Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190673 | |
dc.description.abstractEn | In this paper we investigate higher moments attached to the Chebotarev Density Theorem. Our focus is on the impact that peculiar Galois group structures have on the limiting distribution. Precisely we consider in this paper the case of groups having a character of large degree. Under the Generalized Riemann Hypothesis, we prove in particular that there exists families of Galois extensions of number fields having doubly transitive Frobenius group for which no Gaussian limiting distribution occurs. | |
dc.language.iso | en | |
dc.subject.en | Chebotarev density theorem | |
dc.subject.en | Explicit formulae in arithmetic | |
dc.subject.en | Moment computations | |
dc.title.en | Moments in the Chebotarev density theorem: non-Gaussian families | |
dc.type | Document de travail - Pré-publication | |
dc.type | Prepublication/Preprint | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 2301.12826 | |
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-03961992 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03961992v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DE%20LA%20BRET%C3%88CHE,%20R%C3%A9gis&FIORILLI,%20Daniel&JOUVE,%20Florent&rft.genre=preprint&unknown |
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