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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBILU, Yuri
hal.structure.identifierDepartment of Mathematics
dc.contributor.authorPARASKEVAS, Alvanos
hal.structure.identifierDepartment of Mathematics
dc.contributor.authorDIMITRIOS, Poulakis
dc.date.accessioned2024-04-04T02:35:02Z
dc.date.available2024-04-04T02:35:02Z
dc.date.created2008-11-06
dc.date.issued2009
dc.identifier.issn0022-314X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190600
dc.description.abstractEnA classical theorem of Siegel asserts that the set of S-integral points of an algebraic curve C over a number field is finite unless C has genus 0 and at most two points at infinity. In this paper we give necessary and sufficient conditions for C to have infinitely many S-integral points.
dc.language.isoen
dc.publisherElsevier
dc.subject.enalgebraic curves
dc.subject.enintegral points
dc.subject.enSiegel's theorem
dc.title.enCharacterizing algebraic curves with infinitely many integral points
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0907.2097
bordeaux.journalJournal of Number Theory
bordeaux.page585-590
bordeaux.volume5
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00403683
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00403683v1
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