报告题目：The Brun-Titchmarsh Theorem

报告人：郗平 西安交通大学

报告时间：5月20日 10:00-11:00

报告地点：五教5205

摘要：The classical Brun-Titchmarsh theorem gives an upper bound, which is of correct order of magnitude, for the number of primes in an individual arithmetic progression. We will discuss our recent work on sharpening this theorem with better constants by combining Dirichlet polynomials, character/exponential sums, $\ell$-adic cohomology and spectral theory of automorphic forms. If time permits, we also mention its connection with the Landau-Siegel zero. This is a joint work with Junren Zheng.