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math.NT2016
The fractal nature of an approximate prime counting function
Dimitris Vartziotis, Joachim Wipper
Prime number related fractal polygons and curves are derived by combining two different aspects. One is an approximation of the prime counting function build on an additive functio…
cs.GR2016
Curvature transformation
Dimitris Vartziotis
A transformation based on mean curvature is introduced which morphs triangulated surfaces into round spheres.
math.NT2016
On sums of prime factors
Dimitris Vartziotis, Aristos Tzavellas
We study the arithmetic function sopfr (OEIS A001414) which gives the sum of prime factors (with repetition) of a number . In particular we obtain the asymptotic formula $$…