### 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.

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