Factoring bivariate sparse (lacunary) polynomials
| hal.structure.identifier | Departamento de Matemática [Buenos Aires] | |
| dc.contributor.author | AVENDANO, Martin | |
| hal.structure.identifier | Departamento de Matemática [Buenos Aires] | |
| dc.contributor.author | KRICK, Térésa | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SOMBRA, Martin | |
| dc.date.accessioned | 2024-04-04T02:42:10Z | |
| dc.date.available | 2024-04-04T02:42:10Z | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 0885-064X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191220 | |
| dc.description.abstractEn | We present a deterministic algorithm for computing all irreducible factors of degree ≤ d of a given bivariate polynomial f ∈ K[x, y] over an algebraic number field K and their multiplicities, whose running time is polynomial in the bit length of the sparse encoding of the input and in d . Moreover, we show that the factors over Q of degree ≤ d which are not binomials can also be computed in time polynomial in the sparse length of the input and in d . | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Factoring bivariate sparse (lacunary) polynomials | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Journal of Complexity | |
| bordeaux.page | 193-216 | |
| bordeaux.volume | 23 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00358830 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00358830v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Complexity&rft.date=2007&rft.volume=23&rft.spage=193-216&rft.epage=193-216&rft.eissn=0885-064X&rft.issn=0885-064X&rft.au=AVENDANO,%20Martin&KRICK,%20T%C3%A9r%C3%A9sa&SOMBRA,%20Martin&rft.genre=article |
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