Generating functions for the numbers of Abelian extensions of a local field

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dc.contributor.authorTravesa i Grau, Arturcat
dc.date.accessioned2009-04-07T07:39:52Z
dc.date.available2009-04-07T07:39:52Z
dc.date.issued1990
dc.description.abstractThe aim of this paper is to give an explicit formula for the num- bers of abelian extensions of a p-adic number field and to study the generating function of these numbers. More precisely, we give the number of abelian ex- tensions with given degree and ramification index, and the number of abelian extensions with given degree of any local field of characteristic zero. Moreover, we give a concrete expression of a generating function for these last numberseng
dc.format.extent10 p.cat
dc.format.mimetypeapplication/pdfeng
dc.identifier.idgrec72945cat
dc.identifier.issn1088-6826cat
dc.identifier.urihttps://hdl.handle.net/2445/7664
dc.language.isoengeng
dc.publisherAmerican Mathematical Societycat
dc.relation.isformatofReproducció digital del document publicat a: https://doi.org/10.1090/S0002-9939-1990-1007513-6cat
dc.relation.ispartofProceedings of the American Mathematical Society, 1990, vol. 108, núm. 2, p. 331-339cat
dc.relation.urihttps://doi.org/10.1090/S0002-9939-1990-1007513-6
dc.rights(c) American Mathematical Society, 1990cat
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationTeoria de cossos de classecat
dc.subject.classificationTeoria algebraica de nombrescat
dc.subject.otherClass field theoryeng
dc.subject.otherAlgebraic number theoryeng
dc.titleGenerating functions for the numbers of Abelian extensions of a local fieldeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersion

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