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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209: Number Theory Seminar
Brandon Alberts
Eastern Michigan U.
Number Field Counting via Multiple Dirichlet Series
Abstract:
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.
[pre-talk at 3:00PM by Justine Dell]
May 20, 2026
4:00 PM
APM 7321
Research Areas
Number Theory****************************
