University of Lethbridge

I will discuss the connections between metric Diophantine approximation and the construction of measures whose Fourier transform decays as fast as possible (relative to the Hausdorff dimension of the support of the measure). Concepts like Diophantine...

Primality testing has a number of important applications. In particular in cryptographic applications the complexity of existing deterministic algorithms causes increasing latency as the size of numbers we must test grow and the number of tests we...

In this talk we report on some research projects from summer 2017 supported by NSERC-USRA. In the first part of the project, we surveyed all existing explicit results from the past 60 years on prime counting functions, with a special focus on theta(x...

It is well known that the prime numbers are equidistributed in arithmetic progression. Such a phenomenon is also observed more generally for a class of multiplicative functions. We derive some variants of such results and give an application to...

A packing of translates of a convex domain in the Euclidean plane is said to be totally separable if any two packing elements can be separated by a line disjoint from the interior of every packing element. This notion was introduced by G. Fejes Toth...

Given a field K, a K-valued sequence is said to satisfy a linear recurrence if the n-th term can be expressed as a fixed K-linear combination of the preceding d terms for some d. The sequence of Fibonacci numbers is a famous example of such a...

Let $\phi(n)$ be Euler's totient function and let $q$ and $a$ be fixed coprime natural numbers. Denote by $S_{q,a}$ the set of natural numbers whose prime divisors are all congruent to $a$ modulo $q$. We can establish \[\limsup_{n \in S_{q,a}} \frac...

A "Strongly Regular Graph", SRG(?,k,lambda,mu), is a k-regular graph with v vertices such that every two adjacent vertices have lambda common neighbors, and every two non-adjacent vertices have mu common neighbors. Let M be any power of 2, and let M'...

Description (in plain text format): The modularity theorem tells us that for every elliptic curve E over the field Q of rational numbers, there is a modular form f such that the L-function L(s,f) for f coincides with the L-function L(s,rho) for the...

Please bring your favourite unsolved 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. Everyone is welcome.