The number of ramified primes in number fields of small degree

2014/08/05 by Oliver, Robert J. Lemke, Thorne, Frank
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1408.1018

Abstract

In this paper we investigate the distribution of the number of primes which ramify in number fields of degree d <= 5. In analogy with the classical Erdos-Kac theorem, we prove for S_d-extensions that the number of such primes is normally distributed with mean and variance log log X.

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