SFU Number Theory and Algebraic Seminar: Alia Hamieh (Online)
- Date: 04/09/2020
- Time: 15:30
Lecturer(s):
Alia Hamieh, UNBC
Location:
Online
Topic:
Mean Values of Long Dirichlet Polynomials with Higher Divisor Coefficients
Description:
In this talk, I report on recent work with Nathan Ng. Assuming a conjectural formula for a certain family of additive divisor sums, we prove an asymptotic formula for mean values of long Dirichlet polynomials with higher order shifted divisor functions as coefficients.
This establishes a conjecture of Coney-Keating under the assumption of an additive divisor conjecture. As a consequence, we prove a special case of a conjecture of Conrey-Gonek when the additive divisor conjecture is known.
Other Information:
Scheduled SFU Zoom meeting. Please contact the organizers here for the link.