Title: Bounds for Moments of Central Values of Families of Dirichlet L-functions Abstract: 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 ...
Title: Mean Value of Kloosterman Sums Abstract: 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. Speaker:Zhang Tianping (Shaanxi Normal University)T...
Title: Some rogress on Dirichlet L-functions Abstract: 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. Speaker:Prof. Wu Xiaosheng (Hefei Unive...
Title:An Approximate Form of Artin's Holomorphy Conjecture and Nonvanishing of Artin $L$-functions Abstract: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 $...
On November 23, 2020, a meeting for helping the JSC students to prepare for CET-4 and CET-6 was held in Linglong Hall. It was hosted by Ms. Zhou Junxia, a lecturer of Academic English course and Bai Yilin, a sophomore of JSC. Representatives of 2019 excellent students and the 2020 cohort of JSC studetns ...