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https://dipositint.ub.edu/dspace/handle/2445/7664| Title: | Generating functions for the numbers of Abelian extensions of a local field |
| Author: | Travesa i Grau, Artur |
| Keywords: | Teoria de cossos de classe Teoria algebraica de nombres Class field theory Algebraic number theory |
| Issue Date: | 1990 |
| Publisher: | American Mathematical Society |
| 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 |
| Note: | Reproducció digital del document publicat a: https://doi.org/10.1090/S0002-9939-1990-1007513-6 |
| It is part of: | Proceedings of the American Mathematical Society, 1990, vol. 108, núm. 2, p. 331-339 |
| URI: | https://hdl.handle.net/2445/7664 |
| Related resource: | https://doi.org/10.1090/S0002-9939-1990-1007513-6 |
| ISSN: | 1088-6826 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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