Identitites for Field Extensions Generalizing the Ohno–Nakagawa Relations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | COHEN, Henri | |
| hal.structure.identifier | Department of Statistics [Stanford] | |
| dc.contributor.author | RUBINSTEIN-SALZEDO, Simon | |
| hal.structure.identifier | Department of Mathematics [Columbia] | |
| dc.contributor.author | THORNE, Frank | |
| dc.date.accessioned | 2024-04-04T03:19:11Z | |
| dc.date.available | 2024-04-04T03:19:11Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0010-437X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194482 | |
| dc.description.abstractEn | In previous work, Ohno [Ohn97] conjectured, and Nakagawa [Nak98] proved, relations between the counting functions of certain cubic fields. These relations may be viewed as complements to the Scholz reflection principle, and Ohno and Nakagawa deduced them as consequences of 'extra functional equations' involving the Shintani zeta functions associated to the prehomogeneous vector space of binary cubic forms. In the present paper we generalize their result by proving a similar identity relating certain degree fields with Galois groups D and F respectively, for any odd prime, and in particular we give another proof of the Ohno–Nakagawa relation without appealing to binary cubic forms. | |
| dc.language.iso | en | |
| dc.publisher | Foundation Compositio Mathematica | |
| dc.title.en | Identitites for Field Extensions Generalizing the Ohno–Nakagawa Relations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
| bordeaux.journal | Compositio Mathematica | |
| bordeaux.page | 2059-2075 | |
| bordeaux.volume | 151 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01109980 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01109980v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Compositio%20Mathematica&rft.date=2015&rft.volume=151&rft.issue=11&rft.spage=2059-2075&rft.epage=2059-2075&rft.eissn=0010-437X&rft.issn=0010-437X&rft.au=COHEN,%20Henri&RUBINSTEIN-SALZEDO,%20Simon&THORNE,%20Frank&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||