A theory of residues for skew rational functions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | CARUSO, Xavier | |
| dc.date.accessioned | 2024-04-04T02:46:19Z | |
| dc.date.available | 2024-04-04T02:46:19Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 2429-7100 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191538 | |
| dc.description.abstractEn | This paper constitutes a first attempt to do analysis with skew polynomials. Precisely, our main objective is to develop a theory of residues for skew rational functions (which are, by definition, the quotients of two skew polynomials). We prove in particular a skew analogue of the residue formula and a skew analogue of the classical formula of change of variables for residues. | |
| dc.language.iso | en | |
| dc.publisher | École polytechnique | |
| dc.title.en | A theory of residues for skew rational functions | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.5802/jep.169 | |
| dc.subject.hal | Mathématiques [math]/Anneaux et algèbres [math.RA] | |
| dc.subject.hal | Mathématiques [math]/Théorie de l'information et codage [math.IT] | |
| dc.subject.hal | Informatique [cs]/Calcul formel [cs.SC] | |
| dc.identifier.arxiv | 1908.08430 | |
| bordeaux.journal | Journal de l'École polytechnique — Mathématiques | |
| bordeaux.page | 1159-1192 | |
| bordeaux.volume | 8 | |
| 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-02268790 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02268790v1 | |
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