现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Yuri Matiyasevich, St.Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciencies

Inviter: 陈绍示
Title:
The Riemann Hypothesis in terms of eigenvalues of certain almost triangular Hankel matrices
Time & Venue:
2017.4.18 10:00-11:00 N202
Abstract:

The famous Riemann Hypothesis (RH) is one of the most important open problem in Number Theory. As many other outstanding problems, RH has many equivalent statements. Ten years ago the speaker reformulated the Riemann Hypothesis as statements about the eigenvalues of certain Hankel matrices, entries of which are defined via the Taylor series coefficients of Riemann's zeta function. Numerical calculations revealed some very interesting visual patterns in the behaviour of the eigenvalues and allowed the speaker to state a number of new conjectures related to the RH.

Recently computations have been performed on supercomputers. This led to new conjectures about the finer structure of the eigenvalues and eigenvectors and to conjectures that are (formally) stronger than RH. Further refinement of these
conjectures would require extensive computations on more powerful computers than those that were available to the speaker.

More information can be found at http://logic.pdmi.ras.ru/~yumat/personaljournal/zetahiddenlife

 

 

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