Counting extensions of function fields with bounded discriminant and specified Galois group

By Jordan S. Ellenberg, Akshay Venkatesh. 2005

57 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8280ff587ecd4c6858b9a14b92ba11399d0d7d0c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. J. Klueners

In Computational Theory and Mathematics

1. J. Klueners

In Geometry and Topology

1. J. Klueners

Citations in the corpus

• A counter example to Malle's conjecture on the asymptotics of discriminants (2004, background): “Restricting to those extensions and assuming some heuristic about the number of points of irreducible varieties over Fq, Ellenberg and Venkatesh [ 5 ] are able to deduce the correct upper and lower bounds in Malle’s conjecture including the correct logarithmic power.”