On the number of ramified primes in specializations of function fields over mathbb{Q}
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🧮 math.NT
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galoismathbbnumberfiniteramifiedapplicationscentralextension
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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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