University of Lethbridge

Please bring your favourite (math) problems. Anyone with a problem to share will be given about 5 minutes to present it. We will also choose most of the speakers for the rest of the semester.

Following the framework of Rubinstein and Sarnak for Chebyshev's bias, one obtains a limiting logarithmic distribution μ. Then assuming that the zeros of the L-functions are linearly independent over Q, one can show that the distribution μ is smooth...

Previously, in this seminar series, we have heard about explicit bounds on the sum of values of the von Mangoldt function Lambda(n) (for n x). The point of lift-off for bounding this sum is the explicit formula, which pulls the zeros of the Riemann...

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...

The study of the asymptotic behaviour of the summatory function of the number of divisors of shifted primes was initiated by Titchmarsh, who used the generalised Riemann hypothesis to establish a main term and remainder for the sum of tau(p-a) for p...

For any finite group G, a natural question to ask is the order of the smallest possible automorphism group for a Cayley graph on G. A particular Cayley graph whose automorphism group has this order is referred to as an MRR (Most Rigid Representation)...

We shall place in a general context the following result recently (*) obtained jointly with Yuri Bilu (Bordeaux), Sanoli Gun (Chennai) and Florian Luca (Johannesburg). Theorem. Let τ(⋅) be the classical Ramanujan τ-function and let k be a positive...

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...

Quadratic fields have been studied since the time of Gauss, and in modern times have been used in applications such as integer factorization and public-key cryptography. In this talk, we will give a brief overview of some applications and...