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Thursday 21 Mar 2019NT Seminar: A Density of Ramified Primes - CANCELLED

Dr. Christine McMeekin - Max Planck Institute

H103 14:30-16:30

Using the spin of prime ideals, we give a family of number fields {K(p)}_p depending on a fixed number field K satisfying certain conditions and indexed by the rational primes such that the density of rational primes p that exhibit a prescribed (always ramified) factorization in K(p) is given by an explicit formula and is strictly between 0 and 1.

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