Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Nolan Pyott, Department of Pure Mathematics, University of Waterloo
"Counting Primes using Seldberg's Sieve"
A central function in analytic number theory is the prime counting function and understanding its asymptotic behaviour has many far-reaching consequences. Though an upper bound has been known since Chebycheff, this upper bound can be confirmed using a sieving technique which proves to be stronger in this context than other sieve theory techniques. This technique can be generalized into Seldberg’s sieve which can be used to determine an upper bound on a modified prime counting function to deduce the Brun-Titchmarsh theorem.
Place: at gather.town Graduate space, the middle bottom whiteboard, link: https://app.gather.town/app/S1fgkHgk7P3dUDtw/graduate
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.