Tuesday, February 7, 2023 11:30 am
-
11:30 am
EST (GMT -05:00)
Michael Rubinstein, Department of Pure Mathematics, University of Waterloo
"Differential equations related to averages of the k-th divisor function"
Keating, Rodgers, Roditty-Gershon, and Rudnick have given a conjecture for the asymptotic behaviour of the mean square of sums of the $k$-th divisor numbers over short intervals, and have proven formulas for the analogous problem over $\mathbb{F}_q[t]$. I will discuss their work and describe determinantal and differential equations related to their formulas.
This seminar will be held both online and in person
- Room: MC 5479
- Zoom link: https://uwaterloo.zoom.us/j/99239659097?pwd=ZjNVRjQ1MWpuQmhTb01ZS0RGNDJjQT09