Lethbridge Number Theory and Combinatorics Seminar:

  • Date: 10/23/2017
Speaker(s):

Sam Broadbent, University of Lethbridge

Habiba Kadiri, University of Lethbridge

Kristen Wilk, University of Lethbridge

Location: 

University of Lethbridge

Topic: 

Sharper Bounds for Chebyshev functions theta(x) and psi(x)

Description: 

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) (counting log p for each prime p less than or equal to x).  In the second part, we provided new bounds for the Chebyshev function psi(x) based on a recent zero density result for the zeros of the Riemann zeta function (due to Kadiri-Lumley-Ng). Finally, we have established the current best results for the prime counting function theta(x) for various ranges of x. (Joint work with Noah Christensen, Allysa Lumley, and Nathan Ng)

Other Information: 

Time: 12:00-12:15pm

Location: C630 University Hall

Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/

Sponsor: