Rauf Amirov, Ibrahim Adalar
Abstract:
We show that there is no function
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].
Submitted June 1, 2016. Published February 20, 2017.
Math Subject Classifications: 34B05, 34B07, 11Z05
Key Words: Sturm-Liouville; spectrum; prime numbers.
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Rauf Amirov Department of Mathematics Faculty of Sciences Cumhuriyet University 58140 Sivas, Turkey email: emirov@cumhuriyet.edu.tr | |
Ibrahim Adalar Zara Ahmet Cuhadaroglu Vocational School Cumhuriyet University Zara/Sivas, Turkey email: iadalar@cumhuriyet.edu.tr |
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