现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Xianjin Li, Brigham Young University

Inviter:  
Title:
Defects of Poisson's formula and zeros of Riemann's zeta function
Time & Venue:
2018.6.25 10:30-11:30 N818
Abstract:
According to Weil's explicit formula, RH measures the failure of the Poisson summation formula. In this talk, a sequence of functions will be given which are precisely the defects coming out the failure of the Poisson summation formula. By using these functions, nontrivial zeros of the Riemann zeta-function are shown to have geometric multiplicity one. For every nontrivial zero rho of the zeta-function, an eigenfunction with eigenvalue rho of the fundamental differential operator on the multiplicative group of positive real numbers is constructed. It is also shown that this eigenfunction is the eigenvector of the convolution operator v(h) with eigenvalue \hat h(rho) as appearing in Weil's explicit formula.
 

 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接