A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields
dc.contributor.author | KUHLMANN, Salma | |
hal.structure.identifier | Équipe Géométrie | |
dc.contributor.author | MATUSINSKI, Mickael | |
dc.contributor.author | SHKOP, Ahuva C. | |
dc.date.accessioned | 2024-04-04T02:19:37Z | |
dc.date.available | 2024-04-04T02:19:37Z | |
dc.date.created | 2013-04-21 | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0003-889X | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189421 | |
dc.description.abstractEn | In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero: the differential counterpart of the still open Schanuel's conjecture about the exponential function over the field of complex numbers [11, page 30]. In this article, we derive from Ax's theorem transcendency results in the context of differential valued exponential fields. In particular, we obtain results for exponential Hardy fields, Logarithmic-Exponential power series fields and Exponential-Logarithmic power series fields. | |
dc.language.iso | en | |
dc.publisher | Springer Verlag | |
dc.title.en | A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s00013-013-0520-5 | |
dc.subject.hal | Mathématiques [math]/Logique [math.LO] | |
dc.subject.hal | Mathématiques [math]/Algèbre commutative [math.AC] | |
dc.identifier.arxiv | 1204.0498 | |
bordeaux.journal | Archiv der Mathematik | |
bordeaux.page | 431-436 | |
bordeaux.volume | 100 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 5 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00947090 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00947090v1 | |
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