Amirov, RaufAdalar, Ibrahim2022-03-302022-03-302017-02-20Amirov, R., & Adalar, I. (2017). Eigenvalues of Sturm-Liouville operators and prime numbers. <i>Electronic Journal of Differential Equations, 2017</i>(50), pp. 1-3.1072-6691https://hdl.handle.net/10877/15576We 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].Text3 pages1 file (.pdf)enAttribution 4.0 InternationalSturm-LiouvilleSpectrumPrime numbersArticle