Zero density estimates and fractional imaginary parts of zeros of GL(2) L-functions
Linfoot Number Theory Seminar
2nd February 2021, 4:00 pm – 5:00 pm
Virtual Seminar, https://bristol-ac-uk.zoom.us/j/95482368460
We prove an analogue of Selberg's density estimate for the Riemann zeta function that holds for GL(2) L-functions. We use this estimate to study the distribution of scalar multiples of imaginary parts of zeros of GL(2) L-functions modulo 1. This is ongoing joint work with Di Liu, Jesse Thorner, and Alexandru Zaharescu.