University of Lethbridge

For an integer k≥3; Δk (x) :=∑n≤xdk(n)-Ress=1 (ζk(s)xs/s), where dk(n) is the k-fold divisor function, and ζ(s) is the Riemann zeta-function. In the 1950's, Tong showed for all large enough X; Δk(x) changes sign at least once in the interval [X, X +...

In 1979, Erdős conjectured that for k≥9, 2k is not the sum of distinct powers of 3. That is, the set of powers of two (which is 2-automatic) and the 3-automatic set consisting of numbers whose ternary expansions omit 2 has finite intersection. In the...

Many results in algebraic graph theory can be viewed as upper bounds on the size of the automorphism group of graphs satisfying various hypotheses. These kinds of results have many applications. For example, Tutte's classical theorem on 3-valent arc...

In this talk, I will discuss my on-going joint work with Xiannan Li on an unconditional asymptotic formula for the eighth moment of Γ1(q) L-functions, which are associated with eigenforms for the congruence subgroups Γ1(q). Similar to a large family...

Math Circles are the improvisational comedy of mathematics: you start with a script, and then you say “yes, and...” to all questions and queries, building an atmosphere of exploration and discovery that builds enthusiasm for mathematics. They work at...

Join us for the ULethbridge Math Fair Saturday, Feb 8 2020| 10AM - 2PM | SA7330 Outreach in Science Commons Fun math activities for students in grades K-12 * Platonic Solids * Math Games * Mathematical Colouring

In the past twenty years there has been a flurry of activity in the study of mean values of L-functions. This was precipitated by groundbreaking work of Keating and Snaith in which they modelled these mean values by random matrix theory. In this talk...

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 I(s)=t0, R(s)∈(k−12,k2−ϵ)∪(k2+ϵ,k+12)...

We will discuss several results related to transversals in Latin squares (think "Sudoku") and other Latin square-like objects. These results centre around showing the existence of, the number of, or the structure of transversals in different cases...

Well, it's not really a construction yet -- it's more like a template for constructions. It's a way to take many copies of one tetravalent graph B, the 'base graph', and identify each edge-midpoint with one other according to another graph C, the...