Eigenvalues of a Differential Operator and Zeros of the Riemann ■-Function  

作　　者：Liming Ge Xian-Jin Li Dongsheng Wu Boqing Xue 

机构地区：[1]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [2]Department of Mathematics,Brigham Young University Provo,Utah 84602,USA [3]Institute of Mathematical Sciences,ShanghaiTech University,Shanghai 201210,China

出　　处：《Analysis in Theory and Applications》2020年第3期283-294,共12页分析理论与应用（英文刊）

基　　金：Boqing Xue’s work is supported by the National Natural Science Foundation of China(Grant No.11701549).

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 ■-function.Moreover,their corresponding multiplicities are the same.

关 键 词：Hilbert-Polya space zeros of zeta function differential operator eigenvalue. 

分 类 号：O177.1[理学—数学]