【数论系列报告六】：Super-positivity of a family of L-functions
讲座名称：
【数论系列报告六】：Super-positivity of a family of L-functions
讲座时间：
2017-06-14
讲座人：
黄炳荣
形式：
校区：
兴庆校区
实践学分：
讲座内容：
【数论系列报告六】
报告题目: Super-positivity of a family of L-functions
报告时间: 2017.06.14 (周三) 上午10:40 – 12:10
报告地点: 理科楼407室
报告人: 黄炳荣 (山东大学）
报告摘要:
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.
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