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1990

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/7664

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

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https://doi.org/10.1090/S0002-9939-1990-1007513-6

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

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Teoria de cossos de classe, Teoria algebraica de nombres

Subject (English)

Class field theory, Algebraic number theory

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TRAVESA I GRAU, Artur. Generating functions for the numbers of Abelian extensions of a local field. Proceedings of the American Mathematical Society. 1990. Vol. 108, num. 2, pags. 331-339. ISSN 1088-6826. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/7664

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