The number of ramified primes in number fields of small degree.

Lemke Oliver, Robert J.

Thorne, Frank.


  • 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 Sd-extensions that the number of such primes is normally distributed withmean and variance log log X.
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  • Lemke Oliver, Robert J., and Frank Thorne. "The Number of Ramified Primes in Number Fields of Small Degree." Proceedings of the American Mathematical Society 145, no. 8 (April 26, 2017): 3201-3210. doi:10.1090/proc/13467.
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