Department of Mathematics and Computer Science
Number Theory and Combinatorics Seminar
Spring 2015
Talks are at noon on Monday in room W565 of 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:

June 1
at 11:00am
in C630
Adam Felix
(KTH Royal Institute of Technology, Sweden)
How close is the order of $\pmb{a}$ mod $\pmb{p}$ to $\pmb{p-1}$?
Let $a \in \mathbb{Z} \setminus \{0,\pm 1\}$, and let $f_{a}(p)$ denote the order of $a$ modulo $p$, where $p \nmid a$ is prime. There are many results that suggest $p-1$ and $f_{a}(p)$ are close. For example, Artin's conjecture and Hooley's subsequent proof upon the Generalized Riemann Hypothesis. We will examine questions related to the relationship between $p-1$ and $f_{a}(p)$.

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 12 everyone Open problem session

Jan 19 Nathan Ng A subconvexity bound for modular $\pmb{L}$-functions

Jan 26 Nathan Ng A subconvexity bound for modular $\pmb{L}$-functions, part 2

Feb 2 no seminar (PIMS Distinguished Visitor will speak at noon)

Feb 9 Nathan Ng Gaps between the zeros of the Riemann zeta function

Feb 23 Gabriel Verret Automorphism groups of vertex transitive graphs
(University of Western Australia)

Mar 11 Peter J. Cho Zeros of $\pmb{L}$-functions
(University of Buffalo)

Mar 13 Daniel Vallieres Abelian Artin $\pmb{L}$-functions at zero
(Binghamton University)

Mar 23 Tristan Freiberg Square totients
(University of Missouri)

May 8 Ram Murty Consecutive squarefull numbers
at 10:30am
in UHall C640
(Queen's University)

June 1 Adam Felix How close is the order of $\pmb{a}$ mod $\pmb{p}$ to $\pmb{p-1}$?
at 11:00am
in UHall C630
(KTH Royal Institute of Technology, Sweden)
Past semesters: Fall 2007 Fall 2008 Fall 2009 Fall 2010 Fall 2011 Fall 2012 Fall 2013 Fall 2014
Spring 2008 Spring 2009 Spring 2010 Spring 2012 Spring 2013 Spring 2014