Events

Faustin Adiceam, Department of Pure Mathematics, University of Waterloo

We will be answering the following question raised by Christopher Bishop: 'Suppose we stand in a forest with tree trunks of radius r > 0 and no two trees centered closer than unit distance apart. Can the trees be arranged so that we can never see further than some distance V < \infty, no matter where we stand and what direction we look in? What is the size of V in terms of r?'

MC 5417

Anup Dixit, University of Toronto

Peng-Jie Wong, University of Lethbridge

The analytic properties of L-functions have been one of the central topics in number theory as they have a deep connection with the distribution of primes. For example, the Riemann zeta function led to a proof of the celebrated prime number theorem. In general, for any number field, there are primes and L-functions of similar nature. In this talk, we shall discuss the holomorphy of such L-functions and its applications to the distributions of the associated primes.

MC 5479

Jeffrey Shallit, David R. Cheriton School of Computer Science, University of Waterloo

Francesco Cellarosi, Queen's University

B-free numbers were introduced by Erdős as a generalization of squarefree integers. I will present some results about the statistical properties of B-free numbers and a dynamical systems naturally associated to them. In particular, I will discuss a central limit theorem resembling a result by J. Beck on irrational circle rotations. Joint work with M. Avdeeva and Ya.G. Sinai.

MC 5417

François Seguin, Queen's University

We will be presenting a result about the largest prime divisor of cyclotomic polynomials evaluated at a specific integer.

MC 5417

Guhan Venkat, Laval University

Arpita Kar, Queen's University

We will discuss various results concerning ω(τ(p)), ω(τ(n)), ω(τ(p+1)) where τ denotes Ramanujan Tau function and ω(n) denotes the number of prime factors of n counted without multiplicity. This is work in progress with Prof. Ram Murty.

MC 5417

Oliver Schlotterer, Max Planck Institute for Gravitational Physics/Perimeter Institute

Stan Xiao, University of Oxford