PIMS CRG Seminar Series: L-functions in Analytic Number Theory: Anurag Sahay

  • Date: 12/01/2022
Anurag Sahay, University of Rochester



The value distribution of the Hurwitz zeta function with an irrational shift [video]


The Hurwitz zeta function ζ(s, α) is a shifted integer analogue of the Riemann
zeta function which shares many of its properties, but is not an ”L-function” under
any reasonable definition of the word. We will first review the basics of the value
distribution of the Riemann zeta function in the critical strip (moments, Bohr–Jessen
theory...) and then contrast it with the value distribution of the Hurwitz zeta function.

Our focus will be on shift parameters α /∈ Q, i.e., algebraic irrational or transcen-
dental. We will present a new result (joint with Winston Heap) on moments of these

objects on the critical line.


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: 1084 Charles J McCaffray Hall


A recording of this event is available on mathtube.org.