题目: Bounds for moments of central values of families of Dirichlet L-functions 摘要: Moments of central values of families of L-functions are important subjects in analytical number theory. In this talk, I will explain two powerful principals in the study of sharp bounds for these moments: the upper boun...
题目:Mean value of Kloosterman sums 摘要:In this talk, I will show possible cancellations on various mean value of Kloosterman sums. Then some interesting applications are displayed. Part of this work is joint with Kui Liu and Igor E. Shparlinski. 报告人:张天平(陕西师范大学) 报告人简介:张天平,陕西师...
题目:Some progress on Dirichlet L-functions 摘要:In this talk, we will discuss some recent development of Dirichlet L-functions, mainly including the percentage of zeros on the critical line and an asymptotic formula for the fourth moment at the central value. 报告人:吴小胜教授(合肥工业大学) 时间:2...
题目:An approximate form of Artin's holomorphy conjecture and nonvanishing of Artin $L$-functions 摘要:Let $p$ be a prime, and let $\mathscr{F}_p(Q)$ be the set of number fields $F$ with $[F:\mathbb{Q}]=p$ with absolute discriminant $D_F\leq Q$. Let $\zeta(s)$ be the Riemann zeta function, and for $F\in\...