Lethbridge Number Theory and Combinatorics Seminar: Amir Akbary

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.