Lethbridge Number Theory & Combinatorics Seminar - Sam Broadbent, Habiba Kadiri, Kirsten Wilk (University of Lethbridge)

This event is from the archives of The Notice Board. The event has already taken place and the information contained in this post may no longer be relevant or accurate.

Lethbridge Number Theory and Combinatorics Seminar



October 23, 2017






Sam Broadbent, Habiba Kadiri, and Kirsten Wilk



University of Lethbridge



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


Description (in plain text format):

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:

Location: C630 University Hall

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


Room or Area: 


Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | http://www.uleth.ca/artsci/math-computer-science

Attached Files: