Lethbridge Number Theory and Combinatorics Seminar: Lucile Devin

  • Date: 12/03/2018
  • Time: 12:00
Lecturer(s):
Lucile Devin, University of Ottawa
Location: 

University of Lethbridge

Topic: 

Continuity of the limiting logarithmic distribution in Chebyshev's bias

Description: 

Following the framework of Rubinstein and Sarnak for Chebyshev's bias, one obtains a limiting logarithmic distribution μ. Then assuming that the zeros of the L-functions are linearly independent over Q, one can show that the distribution μ is smooth.

 

Inspired by the notion of self-sufficient zeros introduced by Martin and Ng, we use a much weaker hypothesis of linear independence to show that the distribution μ is continuous. In particular the existence of one self-sufficient zero is enough to ensure that the bias is well defined.

Other Information: 

Location: C630 University Hall

 

For more info, please visit the seminar web page here