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arXiv:1511.02478 [math.NT]AbstractReferencesReviewsResources

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

Lior Bary-Soroker, François Legrand

Published 2015-11-08Version 1

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.

Categories: math.NT
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