Ramin Takloo-Bighash : Automorphic form twisted Shintani zeta function II 

Posted by Frederick Saia , part of the Number Theory Seminar.

At

Sept. 12, 2025, noon

In

636 SEO

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.