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Lethbridge Number Theory and Combinatorics Seminar
September 30, 2019
12-12:50 p.m.
C630 University Hall
Amir Akbary (University of Lethbridge)
The prime number theorem for automorphic L-functions
We describe a theorem due to Jianya Liu and Yangbo Ye (Pure and Applied Mathematics Quarterly, Volume 3, Number 2, 481-497, 2007) concerning the prime number theorem for automorphic L-functions. We state the theorem and review the strategy of the proof in comparison with the classical prime number theorem. An important ingredient is a new version of Perron's formula that represents a sum of complex numbers as a contour integral plus some specific error terms.
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science