PIMS CRG Seminar Series: L-Functions in Analytic Number Theory: Akshaa Vatwani

  • Date: 09/15/2022
Akshaa Vatwani, Indian Institute of Technology Gandhinagar



Joint extreme values of L-functions


We consider L-functions L1, . . . , Lk from the Selberg class having polynomial Euler product and satisfying Selberg’s orthonormality condition. We show that on every vertical line s = σ+it in the complex plane with σ ∈ (1/2, 1), these L-functions simultaneously take “large” values inside
a small neighborhood. Our method extends to σ = 1 unconditionally, and to σ = 1/2 on the generalized Riemann hypothesis. We also obtain similar joint omega results for arguments of the given L-functions.

This is joint work with Kamalakshya Mahatab and Łukasz Pankowski.


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?authuser=0


Kübra Benli, Institut Élie Cartan de Lorraine

Fatma Çiçek, University of Northern British Columbia

Ertan Elma, University of Lethbridge

Other Information: 

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: TBC