Department of Mathematics and Computer Science
Number Theory and Combinatorics Seminar
Spring 2018
Talks are at noon on Monday in various rooms in University Hall
For more information, or to receive an email announcement of each week's seminar,
contact Nathan Ng < ng AT cs DOT uleth DOT ca > or Dave Morris <>.
                The next talk:

May 7
at noon
in C630
Alia Hamieh
(University of Northern British Columbia)  
Non-vanishing of $L$-functions of Hilbert Modular Forms inside the Critical Strip
In this talk, I will discuss recent joint work with Wissam Raji. We show that, on average, the $L$-functions of cuspidal Hilbert modular forms with sufficiently large weight $k$ do not vanish on the line segments $\Im(s)=t_{0}$, $\Re(s)\in(\frac{k-1}{2},\frac{k}{2}-\epsilon)\cup(\frac{k}{2}+\epsilon,\frac{k+1}{2})$. The proof follows from computing the Fourier expansion of a certain kernel function associated with Hilbert modular forms and estimating its first Fourier coefficient. This result is analogous to the case of classical modular forms which was proved by W. Kohnen in 1997.
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 15 everyone Open problem session

Jan 29 Nathan Ng Mean values of long Dirichlet polynomials

Feb 12 Ha Tran Reduced Ideals from the Reduction Algorithm
(University of Calgary)

Feb 26 Andrew Fiori A Geometric Description of Arthur Packets

Mar 5 Amir Akbary On the size of the gcd of $\boldsymbol{a^n-1}$ and $\boldsymbol{b^n-1}$

Mar 12 Steve Wilson The BGCG Construction
(Northern Arizona University)

Mar 19 Peng-Jie Wong On Generalisations of the Titchmarsh divisor problem

Mar 26 Joy Morris Cayley index and Most Rigid Representations (MRRs)

Apr 9 Jean-Marc Deshouillers Values of arithmetic functions at consecutive arguments
(University of Bordeaux)

May 7 Alia Hamieh Non-vanishing of $L$-functions of Hilbert Modular Forms inside the Critical Strip
(University of Northern British Columbia)

Past semesters: Fall F2007 F2008 F2009 F2010 F2011 F2012 F2013 F2014 F2015 F2016 F2017
Spring S2008 S2009 S2010 S2012 S2013 S2014 S2015 S2016 S2017
Click here for a PDF file of abstracts all talks back to 2007 (approx 280K).