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arXiv · 1511.02478

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

Lior Bary-Soroker·François Legrand
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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.

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Lior Bary-Soroker, François Legrand. 2015-11-08. On the number of ramified primes in specializations of function fields over $\mathbb{Q}$. https://arxiv.org/abs/1511.02478

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