This event is from the archives of The Notice Board. The event has already taken place and the information contained in this post may no longer be relevant or accurate.
Lethbridge Number Theory and Combinatorics Seminar
Date:
January 29, 2018
Time:
12:00-12:50pm
Lecturer(s):
Nathan Ng (University of Lethbridge)
Location:
University of Lethbridge
Topic:
Mean values of long Dirichlet polynomials
Description (in Latex format):
A Dirichlet polynomial is a certain type of finite linear combination of exponentials.
The L2 norms of these functions on intervals [0,T] (with T at least 1) play an important role in the theory of L-functions. The talk will discuss work of Goldston and Gonek on how to evaluate these L2 norms in the case that the number of terms in the polynomial is between T and T-squared. This will depend on the correlation between the sequence of coefficients and a shifted sequence. If time permits, the talk will also discuss a conjecture of Conrey and Keating in the case that the coefficients correspond to a generalized divisor function and the number of terms is greater than T.
Other Information:
Location: B543 University Hall
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science
