Mostrar el registro sencillo del ítem

On $D_\ell$ extensions of odd prime degree $\ell$

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorCOHEN, Henri
hal.structure.identifierDepartment of Mathematics [Columbia]
dc.contributor.authorTHORNE, Frank
dc.date.accessioned2024-04-04T03:13:31Z
dc.date.available2024-04-04T03:13:31Z
dc.date.created2016
dc.date.issued2020
dc.identifier.issn0024-6115
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193953
dc.description.abstractEnGeneralizing the work of A. Morra and the authors, we give explicit formulas for the Dirichlet series generating function of $D_ℓ$-extensions of odd prime degree $ℓ$ with given quadratic resolvent. Over the course of our proof, we explain connections between our formulas and the Ankeny-Artin-Chowla conjecture, the Ohno-Nakagawa relation for binary cubic forms, and other topics.
dc.language.isoen
dc.publisherLondon Mathematical Society
dc.title.enOn $D_\ell$ extensions of odd prime degree $\ell$
dc.typeArticle de revue
dc.identifier.doi10.1112/plms.12339
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1609.09153
dc.description.sponsorshipEuropeAlgorithmic Number Theory in Computer Science
bordeaux.journalProceedings of the London Mathematical Society
bordeaux.page1171-1206
bordeaux.volume121
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01379473
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01379473v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20London%20Mathematical%20Society&rft.date=2020&rft.volume=121&rft.issue=5&rft.spage=1171-1206&rft.epage=1171-1206&rft.eissn=0024-6115&rft.issn=0024-6115&rft.au=COHEN,%20Henri&THORNE,%20Frank&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem