Upper bounds on the heights of polynomials and rational fractions from their values
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KIEFFER, Jean | |
| dc.date.accessioned | 2024-04-04T02:40:12Z | |
| dc.date.available | 2024-04-04T02:40:12Z | |
| dc.date.created | 2022-03-21 | |
| dc.date.issued | 2022-03-21 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191043 | |
| dc.description.abstractEn | Let $F$ be a univariate polynomial or rational fraction of degree $d$ defined over a number field. We give bounds from above on the absolute logarithmic Weil height of $F$ in terms of the heights of its values at small integers: we review well-known bounds obtained from interpolation algorithms given values at $d+1$ (resp. $2d+1$) points, and obtain tighter results when considering a larger number of evaluation points. | |
| dc.language.iso | en | |
| dc.publisher | Instytut Matematyczny PAN | |
| dc.subject.en | Polynomials | |
| dc.subject.en | Rational fraction | |
| dc.subject.en | Heights | |
| dc.title.en | Upper bounds on the heights of polynomials and rational fractions from their values | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4064/aa210816-26-1 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 2105.07670 | |
| bordeaux.journal | Acta Arithmetica | |
| bordeaux.page | 49-68 | |
| bordeaux.volume | 203 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03226568 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03226568v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Arithmetica&rft.date=2022-03-21&rft.volume=203&rft.issue=1&rft.spage=49-68&rft.epage=49-68&rft.au=KIEFFER,%20Jean&rft.genre=article |
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