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 - <p style="text-align: justify;">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.</p>