Linear forms at a basis of an algebraic number field
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DE MATHAN, Bernard | |
| dc.date.accessioned | 2024-04-04T02:25:02Z | |
| dc.date.available | 2024-04-04T02:25:02Z | |
| dc.date.created | 2012-01-02 | |
| dc.date.issued | 2012-01-02 | |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189855 | |
| dc.description.abstractEn | It was proved by Cassels and Swinnerton-Dyer that Littlewood conjecture in simultaneous Diophantine approximation holds for any pair of numbers in a cubic field. Later this result was generalized by Peck to a basis (1, α1 , * * * , αn ) of a real algebraic number field of degree at least 3. By transference, this result provides some solutions for the dual form of Littlewood's conjecture. Here we find another solutions, and using Baker's estimates for linear forms in logarithms of algebraic numbers, we discuss whether the result is best possible. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Linear forms at a basis of an algebraic number field | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jnt.2011.06.009 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Journal of Number Theory | |
| bordeaux.page | 1-25 | |
| bordeaux.volume | 132 | |
| 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-00705128 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00705128v1 | |
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