The number of ramified primes in number fields of small degree
classification
🧮 math.NT
keywords
numberprimesdegreefieldsanalogyclassicald-extensionsdistributed
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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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