Year: 2020
Author: Liming Ge, Xian-Jin Li, Dongsheng Wu, Boqing Xue
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 3 : pp. 283–294
Abstract
The eigenvalues of a differential operator on a Hilbert-Pόlya 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-SU1
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 3 : pp. 283–294
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Hilbert-Pόlya space zeros of zeta function differential operator eigenvalue.