On the number of ramified primes in specializations of function fields over ℚ

Lior Bary-Soroker; François Legrand

On the number of ramified primes in specializations of function fields over ℚ

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	1004-1019
Number of pages	16
Journal	New York Journal of Mathematics
Volume	24
State	Published - 23 Oct 2018

Keywords

Central limit theorem
Function field extension
Ramification
Specialization

Cite this

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KW - Function field extension

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KW - Specialization

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On the number of ramified primes in specializations of function fields over ℚ

Abstract

Keywords

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