报告人: 黄炳荣 (山东大学 / Tel-Aviv University)

题  目: Super-positivity of a family of L-functions

时  间: 2017.06.14 (周三) 上午10:40 – 12:10

地  点: 理科楼407室

摘  要:

Zhiwei Yun and Wei Zhang introduced the notion of “super-positivity of self-dual L-functions” which specifies that all derivatives of the completed L-function at the central value $s=1/2$ should be non-negative. The Riemann Hypothesis implies super-positivity for self-dual cuspidal automorphic L-functions on $GL(n)$.

This talk is based on recent joint work with Dorian Goldfeld where we prove, for the first time, that there are infinitely many L-functions associated to modular forms for $SL(2,Z)$ each of which has the super-positivity property.