The asymptotics of nilpotent Galois groups

2020/11/09 by Jürgen Klüners, Klüners, Jürgen
Mathematics · Computer Science · #Analytic Number Theory Research #Cryptography and Residue Arithmetic

paper · pdf · doi:10.48550/arxiv.2011.04325

Abstract

We prove an upper bound for the asymptotics of counting functions of number fields with nilpotent Galois groups.

Related

• Counting nilpotent Galois extensions
• A counter example to Malle's conjecture on the asymptotics of discriminants
• The Distribution of Number Fields with Wreath Products as Galois Groups
• Enumerative Galois theory for number fields
• Enumerating Galois extensions of number fields