paper

Enumerative Galois theory for number fields

arXiv:2304.11991

Abstract

Counting number fields with prescribed Galois group is an enduring challenge in arithmetic statistics. Using the determinant method, we provide an upper bound for even groups, which is new in some cases.

Mathematika (special Wooley issue), to appear, 20 pages

Enumerative Galois theory for number fields · wovepaper