Department of

Mathematics


Seminar Calendar
for events the day of Thursday, April 23, 2020.

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Thursday, April 23, 2020

11:00 am in Zoom (email Patrick Allen for the meeting ID and password),Thursday, April 23, 2020

Log-free zero density estimates for automorphic L-functions

Chen An (Duke University)

Abstract: One of the most important topics in number theory is the study of zeros of L-functions. Near the edge of the critical strip, one may show that the number of zeros for certain L-functions is small; such a result is called a zero density estimate. For Dirichlet L-functions, this topic is well understood by the work of Gallagher, Selberg, Jutila, etc. For families of automorphic L-functions, Kowalski and Michel show that the number of zeros near the edge of the critical strip is small on average. The proof uses a large sieve inequality with key objects called pseudo-characters. I will present my recent progress on the refinement of Kowalski-Michel's large sieve inequality, which gives rise to a better zero density estimate for automorphic L-functions.

3:00 pm in 347 Altgeld Hall,Thursday, April 23, 2020

**Rescheduled due to COVID-19 campus-shutdown**

Mee Seong Im   [email] (United States Military Academy)

Abstract: TBA

4:00 pm in Zoom Meeting,Thursday, April 23, 2020

Spring Department Faculty Meeting

Abstract: The Spring Department Faculty Meeting will be held at 4 p.m. via Zoom. Please contact Jane Bergman for login information (jbergman@illinois.edu).