Sur l'irréductibilité dans l'anneau des séries de Dirichlet analytiques.

Frédéric Bayart; Augustin Mouze

Publicacions Matemàtiques (2005)

  • Volume: 49, Issue: 1, page 93-110
  • ISSN: 0214-1493

Abstract

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We discuss some local analytic properties of the ring of Dirichlet series. We obtain mainly the equivalence between the irreducibility in the analytic ring and in the formal one. In the same way we prove that the ring of analytic Dirichlet series is integrally closed in the ring of formal Dirichlet series. Finally we introduce the notion of standard basis in these rings and we give a finitely generated ideal which does not admit standard bases.

How to cite

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Bayart, Frédéric, and Mouze, Augustin. "Sur l'irréductibilité dans l'anneau des séries de Dirichlet analytiques.." Publicacions Matemàtiques 49.1 (2005): 93-110. <http://eudml.org/doc/41553>.

@article{Bayart2005,
author = {Bayart, Frédéric, Mouze, Augustin},
journal = {Publicacions Matemàtiques},
keywords = {Series de Dirichlet; Anillos aritméticos; Dirichlet series; rings of formal or convergent series},
language = {fre},
number = {1},
pages = {93-110},
title = {Sur l'irréductibilité dans l'anneau des séries de Dirichlet analytiques.},
url = {http://eudml.org/doc/41553},
volume = {49},
year = {2005},
}

TY - JOUR
AU - Bayart, Frédéric
AU - Mouze, Augustin
TI - Sur l'irréductibilité dans l'anneau des séries de Dirichlet analytiques.
JO - Publicacions Matemàtiques
PY - 2005
VL - 49
IS - 1
SP - 93
EP - 110
LA - fre
KW - Series de Dirichlet; Anillos aritméticos; Dirichlet series; rings of formal or convergent series
UR - http://eudml.org/doc/41553
ER -

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