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arXiv · 1408.1018

The number of ramified primes in number fields of small degree

Robert J. Lemke Oliver·Frank Thorne
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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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Robert J. Lemke Oliver, Frank Thorne. 2014-08-05. The number of ramified primes in number fields of small degree. https://arxiv.org/abs/1408.1018

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