Eigenvalues of Sturm-Liouville operators and prime numbers
Date
2017-02-20
Authors
Amirov, Rauf
Adalar, Ibrahim
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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].
Description
Keywords
Sturm-Liouville, Spectrum, Prime numbers
Citation
Amirov, R., & Adalar, I. (2017). Eigenvalues of Sturm-Liouville operators and prime numbers. <i>Electronic Journal of Differential Equations, 2017</i>(50), pp. 1-3.
Rights
Attribution 4.0 International