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Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Symbolic Special Functions : Fast and Certified [SPECFUN] | |
| dc.contributor.author | PAGÈS, Raphaël | |
| dc.date.accessioned | 2024-04-04T02:46:12Z | |
| dc.date.available | 2024-04-04T02:46:12Z | |
| dc.date.issued | 2021 | |
| dc.date.conference | 2021-07-18 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191527 | |
| dc.description.abstractEn | We design a fast algorithm that computes, for a given linear differential operator with coefficients in $Z[x ]$, all the characteristic polynomials of its p-curvatures, for all primes $p < N$ , in asymptotically quasi-linear bit complexity in N. We discuss implementations and applications of our algorithm. We shall see in particular that the good performances of our algorithm are quickly visible. | |
| dc.description.sponsorship | Décider l'irrationalité et la transcendance - ANR-19-CE40-0018 | |
| dc.description.sponsorship | Correspondance de Langlands p-adique : une approche constructive et algorithmique - ANR-18-CE40-0026 | |
| dc.language.iso | en | |
| dc.publisher | ACM | |
| dc.subject.en | Matrix factorial | |
| dc.subject.en | Complexity | |
| dc.subject.en | p-curvature | |
| dc.subject.en | Algorithms | |
| dc.subject.en | complexity | |
| dc.subject.en | -curvature | |
| dc.subject.en | matrix factorial | |
| dc.title.en | Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time | |
| dc.type | Communication dans un congrès | |
| dc.identifier.doi | 10.1145/3452143.3465524 | |
| dc.subject.hal | Informatique [cs]/Calcul formel [cs.SC] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 2106.14637 | |
| bordeaux.page | 329-336 | |
| 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 | ISSAC 2021 - International Symposium on Symbolic and Algebraic Computation | |
| bordeaux.country | RU | |
| bordeaux.conference.city | Saint-Petersbourg / Virtual | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03270585 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2021-07-23 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03270585v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2021&rft.spage=329-336&rft.epage=329-336&rft.au=PAG%C3%88S,%20Rapha%C3%ABl&rft.genre=unknown |
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