# Arithmetic statistics of higher degree L-functions over function fields

Wed, 27/12/2017 - 10:30

Speaker:

Dr. Edva Roditty-Gershon (University of Bristol)

Seminar:

Place:

Third floor seminar room

Abstract:

A classical problem in number theory is to evaluate the number of primes in an arithmetic progression. This problem can be formulated in terms of the von Mangoldt function. I will introduce some conjectures concerning the fluctuations of the von Mangoldt function in arithmetic progressions. I will also introduce an analogous problem in the function field setting and discuss its generalization to arithmetic functions associated with higher degree L-functions (in the limit of large field size). The main example we will discuss is an elliptic curve L-function and statistics associated with its coefficients. This is a joint work with Chris Hall and Jon Keating.

- Last modified: 18/12/2017