no. 6
Number Theory
A counter example to Malle's conjecture on the asymptotics of discriminants
[Un contre-exemple à la conjecture de Malle sur le nombre de corps de discriminant borné]

Présenté par : Christophe Soulé

Klüners, Jürgen1
1 Universität Kassel, Fachbereich Mathematik/Informatik, Heinrich-Plett-Straße 40, 34132 Kassel, Germany
Comptes Rendus. Mathématique, Tome 340 (2005) no. 6, pp. 411-414.

Dans cette Note, nous donnons un contre-exemple à une conjecture de Malle, qui prédit le comportement asymptotique du nombre de corps de clôture galoisienne fixée et discriminant borné.

In this Note we give a counter example to a conjecture of Malle which predicts the asymptotic behavior of the counting functions for field extensions with given Galois group and bounded discriminant.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.02.010
Klüners, Jürgen 1

1 Universität Kassel, Fachbereich Mathematik/Informatik, Heinrich-Plett-Straße 40, 34132 Kassel, Germany 
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Klüners, Jürgen. A counter example to Malle's conjecture on the asymptotics of discriminants. Comptes Rendus. Mathématique, Tome 340 (2005) no. 6, pp. 411-414. doi : 10.1016/j.crma.2005.02.010. http://www.numdam.org/articles/10.1016/j.crma.2005.02.010/

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