PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger.

Title:Divisor sums in short intervals
Seminar:Algebra and Number Theory Seminar
Speaker:Bradley Rogers, University of Michigan
Abstract:
In this talk we will discuss recent joint work with Jon Keating, Edva Roditty-Gershon, and Zeev Rudnick regarding the distribution sums of the k-fold divisor function over short intervals. This distribution is closely related to moments of the Riemann zeta function. We will talk about new conjectures for the variance of these sums, which have several surprising features, and also discuss an analogous result in a function field setting which motivates the conjectures and which may be proved by using, in part, random matrix theory.

Room Reservation Information

Room Number:MB106
Date:04 / 07 / 2016
Time:11:15am - 12:05pm