Number Theory Seminar

Number Field Counting via Multiple Dirichlet Series

Brandon Alberts, Assistant Professor, Department of Mathematics and Statistics, Eastern Michigan University,

I will show how to use multiple Dirichlet series techniques to prove new asymptotics for the number of G-extensions with bounded discriminant, inspired by their use in the study of moments of L-functions. In particular, assuming the generalized Lindelof Hypothesis we prove the existence of an asymptotic whenever G has nilpotency class 2. This work is joint with Alina Bucur.

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