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

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Lethbridge Number Theory and Combinatorics Seminar

 

Date:

October 23, 2017

 

Time:

12:00-12:50pm

 

Lecturer(s):

Sam Broadbent, Habiba Kadiri, and Kirsten Wilk

 

Location:

University of Lethbridge

 

Topic:

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: 
C630

Contact:

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

Attached Files: