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The Cayley-Menger determinant is irreducible for n >= 3
| hal.structure.identifier | Department of Mathematics [Berkeley] | |
| hal.structure.identifier | Departamento de Matemática [Buenos Aires] | |
| hal.structure.identifier | Departament d'Algebra i Geometria | |
| dc.contributor.author | D'ANDREA, Carlos | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SOMBRA, Martin | |
| dc.date.accessioned | 2024-04-04T02:42:09Z | |
| dc.date.available | 2024-04-04T02:42:09Z | |
| dc.date.issued | 2005 | |
| dc.identifier.issn | 0037-4466 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191218 | |
| dc.description.abstractEn | We prove that the Cayley-Menger determinant of an n-dimensional simplex is an absolutely irreducible polynomial for n ≥ 3. We also study the irre- ducibility of polynomials associated to related geometric constructions. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag, Russian Academy of Sciences, Siberian Branch | |
| dc.subject.en | Volume of a simplex | |
| dc.subject.en | Cayley-Menger determinant | |
| dc.subject.en | irreducible polynomial | |
| dc.title.en | The Cayley-Menger determinant is irreducible for n >= 3 | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Siberian Mathematical Journal | |
| bordeaux.page | 71-76 | |
| bordeaux.volume | 46 | |
| 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-00358845 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00358845v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Siberian%20Mathematical%20Journal&rft.date=2005&rft.volume=46&rft.spage=71-76&rft.epage=71-76&rft.eissn=0037-4466&rft.issn=0037-4466&rft.au=D'ANDREA,%20Carlos&SOMBRA,%20Martin&rft.genre=article |
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