Eigenvalues of a Differential Operator and Zeros of the Riemann $\zeta$-Function
DOI:
https://doi.org/10.4208/ata.OA-SU1Keywords:
Hilbert-Pόlya space, zeros of zeta function, differential operator, eigenvalue.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.
Published
2021-09-20
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Eigenvalues of a Differential Operator and Zeros of the Riemann $\zeta$-Function. (2021). Analysis in Theory and Applications, 36(3), 283-294. https://doi.org/10.4208/ata.OA-SU1
