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