Department of Mathematics and Computer Science
Number Theory and Combinatorics Seminar
Spring 2020
Talks are at noon on Monday in W561 of University Hall
 
For more information, contact Nathan Ng < ng AT cs DOT uleth DOT ca > or Dave Morris <Dave.Morris@uleth.ca>.
 
                The next talk:

Mar 2
at noon
in W561
Nathan Ng
(University of Lethbridge)  
Moments of the Riemann zeta function and mean values of long Dirichlet polynomials
The $2k$-th moments $I_k(T)$ of the Riemann zeta function have been studied extensively. In the late 90's, 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.
 
Talks in the series this semester:
(Click on any title for more info, including the abstract. Then click on it again to hide the info.)

Date Speaker Title

Jan 13 everyone Open problem session

Jan 20 Joy Morris Regular Representations of Groups

Jan 27 Habiba Kadiri Explicit results about primes in Chebotarev's density theorem

Feb 3 Selcuk Aygin On the eta quotients whose derivatives are also eta quotients

Feb 10 Amir Akbary Reciprocity Laws

Feb 24 Peng-Jie Wong Cyclicity of CM Elliptic Curves Modulo $p$

Mar 2 Nathan Ng Moments of the Riemann zeta function and mean values of long Dirichlet polynomials

Mar 9 Nathan Ng Title TBA

Mar 16 Speaker TBA Title TBA

Mar 23 Shabnam Ahktari Title TBA
(University of Oregon)

Mar 30 Sourabh Das Title TBA

 
Past semesters: Fall F2007 F2008 F2009 F2010 F2011 F2012 F2013 F2014 F2015 F2016 F2017 F2018 F2019
Spring S2008 S2009 S2010 S2012 S2013 S2014 S2015 S2016 S2017 S2018 S2019
Click here for a PDF file of abstracts of all talks back to 2007 (approx 355K).