An algorithm for the principal ideal problem in indefinite quaternion algebras
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | PAGE, Aurel | |
| dc.date.accessioned | 2024-04-04T02:17:13Z | |
| dc.date.available | 2024-04-04T02:17:13Z | |
| dc.date.issued | 2014 | |
| dc.date.conference | 2014-08-06 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189209 | |
| dc.description.abstractEn | Deciding whether an ideal of a number field is principal and finding a generator is a fundamental problem with many applications in computational number theory. For indefinite quaternion algebras, the decision problem reduces to that in the underlying number field. Finding a generator is hard, and we present a heuristically subexponential algorithm. | |
| dc.language.iso | en | |
| dc.subject.en | Bruhat-Tits tree | |
| dc.subject.en | factor base | |
| dc.subject.en | principal ideal algorithm | |
| dc.subject.en | quaternion algebra | |
| dc.title.en | An algorithm for the principal ideal problem in indefinite quaternion algebras | |
| dc.type | Communication dans un congrès | |
| dc.identifier.doi | 10.1112/S1461157014000321 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Informatique [cs]/Calcul formel [cs.SC] | |
| dc.identifier.arxiv | 1405.6674 | |
| dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
| bordeaux.page | 366-384 | |
| bordeaux.volume | 17 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | Algorithmic Number Theory Symposium ANTS XI | |
| bordeaux.country | KR | |
| bordeaux.conference.city | GyeongJu | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00996346 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2014-08-11 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00996346v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2014&rft.volume=17&rft.spage=366-384&rft.epage=366-384&rft.au=PAGE,%20Aurel&rft.genre=unknown |
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