EIGENVALUES OF STURM-LIOUVILLE OPERATORS AND PRIME NUMBERS
Abstract
We show that there is no function q(x) is an element of L-2(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 [71.
Source
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONSCollections
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