University of Lethbridge

In 1944, Linnik famously showed unconditionally that the least prime in an arithmetic progression a (mod q) with gcd(a,q)=1 is bounded by q^L for some absolute effective constant L>0, known as “Linnik’s constant”. Many authors have computed explicit...

Very little is known about the distribution of primitive roots of a prime p. Grosswald conjectured that the least primitive root of a prime p is less than the square root of p, minus 2, for all p greater than 409. While this is certainly true for all...

We will discuss recent progress towards the twin prime conjecture as well as highlight some recent joint work with Akshaa Vatwani the connects the parity problem with the twin prime conjecture. The talk will be accessible to a wide audience.

Given an elliptic curve E over a number field K. The Frobenius field attached to E at a prime p is the splitting field of the characteristic polynomial of the Frobenius endomorphism acting on the ell-adic Tate module of E (ell a prime different from...

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.

We discuss the possibility that the Riemann zeta function has a zero s+iT to the left of the classical zero free region. We will show how the existence of this zero forces the function to have many more zeros in the vicinity of s+iT or/and s+2iT.

Place a checker in some square of an m x n rectangular checkerboard, and glue opposite edges of the checkerboard to make a projective plane. We determine whether the checker can visit all the squares of the checkerboard (without repeating any squares...

In this talk, I will discuss a characterization of linear isometries between certain subspaces of Banach-space valued spaces of continuous functions. The result is motivated by some prior results on isometries between some spaces of vector-valued di...

In this talk we will outline a large class of problems in Analysis (in particular, Matrix Analysis) called the Preserver Problems and then concentrate on a specific preserver problem: study the structure of isometries defined on the algebra A of...

A Cayley object over a finite group H is any relational structure R with point set H which is invariant under the group of right translations. The well-known examples of Cayley objects include Cayley graphs, Cayley maps, group codes etc. The...