A counter example to Malle's conjecture on the asymptotics of discriminants

By J. Klueners. 2004

81 citations recorded by the source corpus.

Abstract 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. To cite this article: J. Kluners, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d3ac5b03a09a212e123222767ad4e49bf3dd326f

Citations in the corpus

• Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields (2009, unknown): “13Klüners observed that Malle’s conjecture predicts an incorrect power of log X for certain choices of G [29]; see Türkelli [39] for a natural modification of Malle’s conjecture which avoids the problems leading to Klüners’ counterexamples.”