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Moments in the Chebotarev density theorem: non-Gaussian families

hal.structure.identifierInstitut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
dc.contributor.authorDE LA BRETÈCHE, Régis
hal.structure.identifierLaboratoire de Mathématiques d'Orsay [LMO]
dc.contributor.authorFIORILLI, Daniel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJOUVE, Florent
dc.date.accessioned2024-04-04T02:35:49Z
dc.date.available2024-04-04T02:35:49Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190673
dc.description.abstractEnIn 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.isoen
dc.subject.enChebotarev density theorem
dc.subject.enExplicit formulae in arithmetic
dc.subject.enMoment computations
dc.title.enMoments in the Chebotarev density theorem: non-Gaussian families
dc.typeDocument de travail - Pré-publication
dc.typePrepublication/Preprint
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv2301.12826
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03961992
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03961992v1
bordeaux.COinSctx_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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