On the number of ramified primes in specializations of function fields over $\mathbb{Q}$

Abstract

We study the number of ramified prime numbers in finite Galois extensions of $\mathbb{Q}$ obtained by specializing a finite Galois extension of $\mathbb{Q}(T)$. Our main result is a central limit theorem for this number. We also give some Galois theoretical applications.

To appear in the New York Journal of Mathematics

References in corpus (1)

• The inverse Galois problem for PSL_2(F_p)