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.
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.
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Jürgen Klüners 1
@article{CRMATH_2005__340_6_411_0, author = {J\"urgen Kl\"uners}, title = {A counter example to {Malle's} conjecture on the asymptotics of discriminants}, journal = {Comptes Rendus. Math\'ematique}, pages = {411--414}, publisher = {Elsevier}, volume = {340}, number = {6}, year = {2005}, doi = {10.1016/j.crma.2005.02.010}, language = {en}, }
Jürgen Klüners. A counter example to Malle's conjecture on the asymptotics of discriminants. Comptes Rendus. Mathématique, Volume 340 (2005) no. 6, pp. 411-414. doi : 10.1016/j.crma.2005.02.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.02.010/
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