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.