Number Theory Seminar
Ramin Takloo-Bighash
UIC
Automorphic form twisted Shintani zeta function II
Abstract: In this talk I will explain a new result joint with Eun Hye Lee in which we prove the analytic continuation of the Shintani zeta function of the prehomogeneous space of binary cubic forms twisted with an automorphic form over an arbitrary number field to the domain $\Re s > 3/4$, independent of all data. The main application of this result is the effective equidistribution of shapes of cubic extensions of arbitrary number fields.
Friday September 12, 2025 at 12:00 PM in 636 SEO