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1 Polynomial splines interpolating prime series

By Lubomir Alex, D. B. Baranov and Plamen Yotov


Abstract: We found differentiable real function reproducing primes up to a given number N and having differentiable inverse function. We develop Fortran programmes for computation the direct and inverse functions and their derivatives. The inverse function is compared with the Riemann-Von Mangoldt exact expression for PI(x) through the zeros of the Riemann zetafunction. 1

Year: 2003
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