Lethbridge Number Theory & Combinatorics Seminar - NATHAN NG, University of Lethbridge

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Lethbridge Number Theory and Combinatorics Seminar

Discrete moments of the Riemann zeta function

February 11, 2019

12:00 - 12:50 p.m.

D631 University Hall

Nathan Ng (University of Lethbridge)

In this talk I will consider the discrete moments J_k(T) that are defined by summing the 2k-th power of the absolute value of the derivative of the Riemann zeta function zeta(s) at all nontrivial zeros of zeta(s) whose imaginary part has absolute  value less than T.

In the 1980's Steve Gonek and Dennis Hejhal (independently) studied these moments and proposed a conjecture for the size of J_k(T).  I will give a survey of the known results towards the Gonek-Hejhal conjecture on J_k(T).  If time permits, I will present several new results.

 

Room or Area: 
D631

Contact:

Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | http://www.cs.uleth.ca/~nathanng/ntcoseminar/

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