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dc.contributor.authorKUHLMANN, Salma
hal.structure.identifierÉquipe Géométrie
dc.contributor.authorMATUSINSKI, Mickael
dc.contributor.authorSHKOP, Ahuva C.
dc.date.accessioned2024-04-04T02:19:37Z
dc.date.available2024-04-04T02:19:37Z
dc.date.created2013-04-21
dc.date.issued2013
dc.identifier.issn0003-889X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189421
dc.description.abstractEnIn [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.isoen
dc.publisherSpringer Verlag
dc.title.enA Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields
dc.typeArticle de revue
dc.identifier.doi10.1007/s00013-013-0520-5
dc.subject.halMathématiques [math]/Logique [math.LO]
dc.subject.halMathématiques [math]/Algèbre commutative [math.AC]
dc.identifier.arxiv1204.0498
bordeaux.journalArchiv der Mathematik
bordeaux.page431-436
bordeaux.volume100
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00947090
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00947090v1
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