50 Years of Number Theory and Random Matrix Theory Conference

Sums of certain arithmetic functions over $\mathbb{F}_q[T]$ and non-unitary distributions

In 2018 Keating, Rodgers, Roditty-Gershon and Rudnick established relationships of the mean-square of sums of the divisor function $d_k(f)$ over short intervals and over arithmetic progressions for the function field $\mathbb{F}_q[T]$ to certain integrals over the ensemble of unitary matrices when $q \rightarrow \infty$. We study similar problems leading to integrals over the ensembles of symplectic and orthogonal matrices when $q \rightarrow \infty$.  This is joint work with Vivian Kuperberg. 

Date & Time

June 24, 2022 | 9:00am – 10:00am


Wolfensohn Hall and Remote Access


University of Montreal