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Lethbridge Number Theory and Combinatorics Seminar
Date:
November 5, 2018
Time:
12:00 - 12:50 p.m.
Lecturer(s):
Peng-Jie Wong (University of Lethbridge)
Location:
University of Lethbridge
Topic:
Dirichlet's Theorem for Modular Forms
Description:
Dirichlet's theorem on arithmetic progressions states that for any (a,q)=1, there are infinitely many primes congruent to a modulo q. Such a theorem together with Euler's earlier work on the infinitude of primes represents the beginning of the study of L-functions and their connection with the distribution of primes.
In this talk, we will discuss some ingredients of the proof for the theorem. Also, we will explain how such an L-function approach leads to Dirichlet's theorem for modular forms that gives a count of Fourier coefficients of modular forms over primes in arithmetic progressions.
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
