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

# metadata.dc.description.abstract[].value
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

# metadata.dc.relation.ispartof[].value
Proceedings of the American Mathematical Society, 1990, vol. 108, núm. 2, p. 331-339

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Generating functions for the numbers of Abelian extensions of a local field