On the number of ramified primes in specializations of function fields over $\mathbb{Q}$
Number Theory
2018-09-28 v2
Abstract
We study the number of ramified prime numbers in finite Galois extensions of obtained by specializing a finite Galois extension of . Our main result is a central limit theorem for this number. We also give some Galois theoretical applications.
Keywords
Cite
@article{arxiv.1511.02478,
title = {On the number of ramified primes in specializations of function fields over $\mathbb{Q}$},
author = {Lior Bary-Soroker and François Legrand},
journal= {arXiv preprint arXiv:1511.02478},
year = {2018}
}
Comments
To appear in the New York Journal of Mathematics