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dc.contributor	Universitat de Barcelona
dc.contributor.author	Travesa i Grau, Artur
dc.date	2009-04-07T07:39:52Z
dc.date	2009-04-07T07:39:52Z
dc.date	1990
dc.date.accessioned	2010-05-27T13:10:30Z
dc.date.available	2010-05-27T13:10:30Z
dc.date.issued	2010-05-27T13:10:30Z
dc.identifier.citation	1088-6826
dc.identifier.uri	http://hdl.handle.net/2445/7664
dc.format	10 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society
dc.relation	Reproducció digital del document publicat en format paper, proporcionada per JSTOR i url http://www.jstor.org/stable/2048280
dc.relation	Proceedings of the American Mathematical Society, 1990, vol. 108, núm. 2, p. 331-339
dc.rights	(c) American Mathematical Society, 1990
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Teoria de cossos de classe
dc.subject	Teoria algebraica de nombres
dc.subject	Class field theory
dc.subject	Algebraic number theory
dc.title	Generating functions for the numbers of Abelian extensions of a local field
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The 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 numbers