## PIMS CRG Seminar Series: L-functions in Analytic Number Theory: Shashank Chorge

• Date: 10/13/2022
Speaker(s):
Shashank Chorge, University of Rochester
Location:

Hybrid

Topic:

Extreme values of the Riemann zeta and Dirichlet L-functions at critical points [video]

Description:

We compute extreme values of the Riemann Zeta function at the critical points of the zeta function in the critical strip. i.e. the points where $$\zeta'(s) = 0$$ and $$\mathfrak{R}s < 1$$. We show that the values taken by the zeta function at these points are very similar to the extreme values taken without any restrictions. We will show geometric significance of such points.

We also compute extreme values of Dirichlet L-functions at the critical points of the zeta function, to the right of $$\mathfrak{R}s=1$$. It shows statistical independence of L-functions and zeta function in a certain way as these values are very similar to the values taken by L-functions without any restriction.

This event is part of the PIMS CRG Group on L-Functions in Analytic Number Theory. More details can be found on the webpage here: https://sites.google.com/view/crgl-functions/crg-weekly-seminar

Organizers:

Kübra Benli, Institut Élie Cartan de Lorraine

Fatma Çiçek, University of Northern British Columbia

Ertan Elma, University of Lethbridge

Other Information:

This event took place via zoom and a recording is available on mathtube.org.

The online seminars for the PIMS CRG L-functions in Analytic Number Theory will take place on Thursdays, 10–11 am Pacific Time/11 am–noon Mountain Time.

You are also welcome to join us in person at our “watch parties”:

UBC–Vancouver: room ESB 4127

University of Lethbridge: M1060 (Markin Hall)

University of Northern British Columbia: 1084 Charles J McCaffray Hall