Eigenvalues of Sturm-Liouville operators and prime numbers
Abstract
We show that there is no function q(x) ∈ L2(0, 1) which is the potential of a Sturm-Liouville problem with Dirichlet boundary condition whose spectrum is a set depending nonlinearly on the set of prime numbers as suggested by Mingarelli [7].
Citation
Amirov, R., & Adalar, I. (2017). Eigenvalues of Sturm-Liouville operators and prime numbers. Electronic Journal of Differential Equations, 2017(50), pp. 1-3.Rights License

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