Eigenvalues of diffusion operators and Prime numbers

Yıl 2017, Cilt: 38 Sayı: 3, 488 - 491, 30.09.2017

Rauf Amirov İbrahim Adalar

https://doi.org/10.17776/csj.340494

Cited By: 2

Öz

In this paper, the relationship between the positive eigenvalues of
diffusion operators and prime numbers is investigated. We also propose a Sturm-Liouville
problem with Coulomb singularity that shows eigenvalues the distribution of
prime numbers.

Anahtar Kelimeler

Inverse problem, spectrum, prime numbers, diffusion operator, coulomb singularity

Difüzyon Operatörlerinin Özdeğerleri ve Asal Sayılar

Öz

Bu makalede,
difüzyon operatörlerinin pozitif özdeğerleri ile asal sayılar arasındaki
ilişki incelenmiştir. Ayrıca, özdeğerleri, asal sayıların dağılımını gösteren
Coulomb singularitesine sahip bir Sturm-Liouville problemi önerilmiştir.

Anahtar Kelimeler

Ters problem, spektrum, asal sayılar, difüzyon operator, coulomb singularite

Kaynakça

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