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Lethbridge Number Theory and Combinatorics Seminar
Date: March 2, 2020
Time: 12 to 12:50 p.m.
Lecturer(s): Nathan Ng (University of Lethbridge)
Location: University of Lethbridge, UHall W561
Topic: Moments of the Riemann zeta function and mean values of long Dirichlet polynomials
Description:
The 2k-th moments I_k(T) of the Riemann zeta function have been studied extensively. In the late '90s, Keating-Snaith gave a conjecture for the size of I_k(T). At the same time, Conrey-Gonek connected.
I_k(T) to mean values of long Dirichlet polynomials with divisor coefficients. Recently this has been further developed by Conrey-Keating in a series of 5 articles. I will discuss my work relating I_3(T) to smooth shifted ternary additive divisor sums and also recent joint work with Alia Hamieh on mean values of long Dirichlet polynomials with higher divisor coefficients.
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science/number-theory-combinatorics-seminars
