PIMS CRG Seminar Series: L-functions in Analytic Number Theory: Youssef Sedrati

  • Date: 09/29/2022
Youssef Sedrati, Institut Élie Cartan de Lorraine, Nancy



Races of irreducible monic polynomials over function fields


Chebyshev noticed in 1853 that there is a predominance, for “most” real numbers x ≥ 2, of the number of primes ≤ x and congruent to 3 modulo 4 over primes ≤ x and congruent to 1 modulo 4. Since then, several generalizations of this phenomenon have been studied, notably in the case of prime number races with three or more competitors by Y. Lamzouri. In this talk, I will present results related to the generalization of Y. Lamzouri’s work in the context of polynomial rings over finite fields. I will also discuss results concerning races of irreducible monic polynomials involving two competitors. In particular, I will give examples where the races in the function field setting behave differently than in the number field setting.


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: 

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