Dirichlet series associated to quartic fields with given cubic resolvent
hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | COHEN, Henri | |
hal.structure.identifier | Department of Mathematics [Columbia] | |
dc.contributor.author | THORNE, Frank | |
dc.date.accessioned | 2024-04-04T02:21:40Z | |
dc.date.available | 2024-04-04T02:21:40Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 2363-9555 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189594 | |
dc.description.abstractEn | Let $k$ be a cubic field. We give an explicit formula for the Dirichlet series $\sum_K|\Disc(K)|^{-s}$, where the sum is over isomorphism classes of all quartic fields whose cubic resolvent field is isomorphic to $k$. Our work is a sequel to an unpublished preprint of Cohen, Diaz y Diaz, and Olivier, and we include complete proofs of their results so as not to rely on unpublished work. This is a companion to a previous paper where we compute the Dirichlet series associated to cubic fields having a given quadratic resolvent. | |
dc.language.iso | en | |
dc.publisher | Springer | |
dc.title.en | Dirichlet series associated to quartic fields with given cubic resolvent | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s40993-015-0001-y | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 1302.5728 | |
dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
bordeaux.journal | Research in Number Theory | |
bordeaux.page | 1-40 | |
bordeaux.volume | 2 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 29 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00854664 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00854664v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Research%20in%20Number%20Theory&rft.date=2016&rft.volume=2&rft.issue=29&rft.spage=1-40&rft.epage=1-40&rft.eissn=2363-9555&rft.issn=2363-9555&rft.au=COHEN,%20Henri&THORNE,%20Frank&rft.genre=article |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |