On the Distribution of Galois Groups

By Gunter Malle. 2002

69 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/c16f82e9752564ebebe5711edb775edff2a428ad

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. Melanie Matchett Wood
2. L. Pierce
3. Caroline Turnage-Butterbaugh
4. William A. Stein
5. Barry Mazur
6. Akshay Venkatesh
7. Dan Erik Petersen

In Geometry and Topology

1. Melanie Matchett Wood
2. Caroline Turnage-Butterbaugh
3. L. Pierce
4. William A. Stein
5. Barry Mazur
6. Akshay Venkatesh
7. Dan Erik Petersen

In Mathematical Physics

1. Caroline Turnage-Butterbaugh
2. L. Pierce
3. William A. Stein
4. Barry Mazur
5. Melanie Matchett Wood
6. Andr'as M'esz'aros
7. Hoi H. Nguyen
8. Dan Erik Petersen

Citations in the corpus

• An effective Chebotarev density theorem for families of number fields, with an application to $$\ell $$-torsion in class groups (2017, background): “5] obtained the lower bound |Zp(Q, Dp;X)| X2/(p−1) predicted by Malle’s conjecture [Mal02].”
• Average Ranks of Elliptic Curves: Tension between Data and Conjecture (2007, background): “Counting field extensions of a given field whose Galois closure has its Galois group of a particular isomorphy type has been the subject of a number of precise conjectures (initially [CDO], and then successively refined in [ Mal02 , Mal04]).”