Mathematics Colloquium: "Zero-density estimates of $L$-functions"

2013-10-08

4:10pm Neill Hall 5W

Dr. Yoonbok Lee

In the theory of zeta or $L$- functions it is useful to have good estimates for $N(sigma, T, 2T)$, the number of zeros $ ho = eta+igamma$ for which $ eta > sigma $ and $ T< gamma < 2T$. In this talk we study zero-density estimates of various zeta or $L$- functions. In particular we introduce that zero-density estimates of a Hecke $L$-function are related to a universality theorem and fractional moments of the $L$-function.