Lethbridge Number Theory & Combinatorics Seminar - HABIBA KADIRI, 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

Date: November 30, 2015

Time: 12:00-12:50pm

Lecturer(s): Habiba Kadiri

Location:  University of Lethbridge, C630

Topic: Explicit bounds for psi(x;q,a)

Description (in plain text format):

The prime number theorem in arithmetic progressions establishes that, for a and q fixed coprime integers, then psi(x;q,a) is asymptotic to x/phi(q) when x is large. We discuss new explicit bounds for the error term, which provide an extension and improvement over the previous work of Ramaré and Rumely. Such results depend on the zeros of the Dirichlet L-functions: a numerical verification of the Generalized Riemann Hypothesis up to a given height and explicit zero-free regions. We use the latest results of respectively Platt and Kadiri. In addition our method makes use of smooth weights.

This is joint work with Allysa Lumley.

 

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 | uleth.ca/artsci/math-computer-science

Attached Files: