Eigenvalues of a Differential Operator and Zeros of the Riemann $\\zeta $-Function

CSpace

	Eigenvalues of a Differential Operator and Zeros of the Riemann $\\zeta $-Function
	Ge Liming 1; Li Xianjin 2; Wu Dongsheng 1; Xue Boqing 3
	2020
发表期刊	Analysis in Theory and Applications
ISSN	1672-4070
卷号	36 期号:3 页码:283-294
摘要	The eigenvalues of a differential operator on a Hilbert-Polya space are determined.It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann $\zeta $-function.Moreover, their corresponding multiplicities are the same.
关键词	Hilbert-Polya space zeros of zeta function differential operator eigenvalue
收录类别	CSCD
语种	英语
CSCD记录号	CSCD:6879295
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58379
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.杨百翰大学 3.上海科技大学
推荐引用方式 GB/T 7714	Ge Liming,Li Xianjin,Wu Dongsheng,et al. Eigenvalues of a Differential Operator and Zeros of the Riemann $\\zeta $-Function[J]. Analysis in Theory and Applications,2020,36(3):283-294.
APA	Ge Liming,Li Xianjin,Wu Dongsheng,&Xue Boqing.(2020).Eigenvalues of a Differential Operator and Zeros of the Riemann $\\zeta $-Function.Analysis in Theory and Applications,36(3),283-294.
MLA	Ge Liming,et al."Eigenvalues of a Differential Operator and Zeros of the Riemann $\\zeta $-Function".Analysis in Theory and Applications 36.3(2020):283-294.