PIMS CRG Seminar Series: L-functions in Analytic Number Theory: Xiannan Li

  • Date: 11/03/2022
Xiannan Li, Kansas State University



Quadratic twists of modular L-functions [video]


The behavior of quadratic twists of modular L-functions at the critical point is related both to coefficients of half integer weight modular forms and data on elliptic curves. Here we describe a proof of an asymptotic for the second moment of this family of L-functions, previously available conditionally on the Generalized Riemann Hypothesis by the work of Soundararajan and Young. Our proof depends on deriving
an optimal large sieve type bound.


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


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 online 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.



If you would like to attend the seminars, please register to receive the Zoom link.



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