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Polynomial splines interpolating prime series

Lumomir Alexandrov·D. B. Baranov·Plamen Yotov
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Abstract

Differentiable 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.

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Lumomir Alexandrov, D. B. Baranov, Plamen Yotov. 2003-11-26. Polynomial splines interpolating prime series. https://arxiv.org/abs/math/0212246

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