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Generating functions for the numbers of Abelian extensions of a local field
Travesa i Grau, Artur
Universitat de Barcelona
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
Teoria de cossos de classe
Teoria algebraica de nombres
Class field theory
Algebraic number theory
(c) American Mathematical Society, 1990
American Mathematical Society

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