@Article{ATA-36-283,
author = {Ge , LimingLi , Xian-JinWu , Dongsheng and Xue , Boqing},
title = {Eigenvalues of a Differential Operator and Zeros of the Riemann $\zeta$-Function},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {36},
number = {3},
pages = {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.
},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-SU1},
url = {http://global-sci.org/intro/article_detail/ata/18287.html}
}
TY - JOUR
T1 - Eigenvalues of a Differential Operator and Zeros of the Riemann $\zeta$-Function
AU - Ge , Liming
AU - Li , Xian-Jin
AU - Wu , Dongsheng
AU - Xue , Boqing
JO - Analysis in Theory and Applications
VL - 3
SP - 283
EP - 294
PY - 2020
DA - 2020/09
SN - 36
DO - http://doi.org/10.4208/ata.OA-SU1
UR - https://global-sci.org/intro/article_detail/ata/18287.html
KW - Hilbert-Pόlya space, zeros of zeta function, differential operator, eigenvalue.
AB -
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.
Ge , LimingLi , Xian-JinWu , Dongsheng and Xue , Boqing. (2020). Eigenvalues of a Differential Operator and Zeros of the Riemann $\zeta$-Function.
Analysis in Theory and Applications. 36 (3).
283-294.
doi:10.4208/ata.OA-SU1
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