@Article{ATA-36-3, author = {Liming, Ge and Xian-Jin, Li and Wu, 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 = {https://global-sci.com/article/73816/eigenvalues-of-a-differential-operator-and-zeros-of-the-riemann-zeta-function} }