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Lethbridge Number Theory and Combinatorics Seminar
Date:
December 3, 2018
Time:
Noon to 12:50 p.m.
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 mu. Then assuming that the zeros of the L-functions are linearly independent over Q, one can show that the distribution mu 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 mu 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
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science