Polynomial splines interpolating prime series

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dc.creatorAlexandrov, Lumomir
dc.creatorBaranov, D. B.
dc.creatorYotov, Plamen
dc.date2002-12-18
dc.date2003-11-26
dc.date.accessioned2026-07-07T04:53:52Z
dc.date.available2026-07-07T04:53:52Z
dc.descriptionDifferentiable real function reproducing primes up to a given number and having a differentiable inverse function is constructed. This inverse function is compared with the Riemann-Von Mangoldt exact expression for the number of primes not exceeding a given value. Software for computation of the direct and inverse functions and their derivatives is developed. Examples of approximate solution of Diophantine equations on the primes are given.
dc.description28 pages, 9 figures, 1 Fortran packages included in source, 2 listings with solutions of Diophantine equations on primes and twins
dc.identifierhttps://arxiv.org/abs/math/0212246
dc.identifierhttp://arxiv.org/abs/math/0212246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66025
dc.subjectNumber Theory
dc.subject11N05, 11M20, 65D07
dc.titlePolynomial splines interpolating prime series
dc.typetext

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