Research Group
| Seminar | WSU Colloquium
| Department Home

Washington State
University

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

April 25, Monday, 4:10 - 5:00 PM

Liyang Yang

Department of Mathematics

Princeton University

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

April 25, Monday, 4:10 - 5:00 PM

Liyang Yang

Department of Mathematics

Princeton University

Title:
Non-vanishing of twists of GL(4) L-functions

Abstract: I will discuss recent work with Maksym Radziwill in which we show that for any fixed tempered cuspidal representation $\pi$ of GL(4;Q), there exist infinitely many primitive characters $\chi$ such that the twisted L-function $L(s,\pi\times\chi)$ is non-vanishing at the central point s=1/2. Some applications will be discussed as well.

Abstract: I will discuss recent work with Maksym Radziwill in which we show that for any fixed tempered cuspidal representation $\pi$ of GL(4;Q), there exist infinitely many primitive characters $\chi$ such that the twisted L-function $L(s,\pi\times\chi)$ is non-vanishing at the central point s=1/2. Some applications will be discussed as well.