BYU

Abstract by Dongsheng Wu

Personal Infomation


Presenter's Name

Dongsheng Wu

Degree Level

Doctorate

Co-Authors

Liming Ge
Xianjin Li
Boqing Xue

Abstract Infomation


Department

Mathematics

Faculty Advisor

Xian-Jin Li

Title

Eigenvalues of differential operators and zeros of L-functions

Abstract

The eigenvalues of a differential operator on a Hilbert-P\'olya 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. Similar results are generalized to two classes of L-functions.