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Fractal Fract 2017, 1(1), 10; doi:10.3390/fractalfract1010010

The Fractal Nature of an Approximate Prime Counting Function

1
Department of Mathematical Research, TWT GmbH Science & Innovation, Ernsthaldenstraße 17, 70565 Stuttgart, Germany
2
Research Center, NIKI Ltd. Digital Engineering, Ethnikis Antistasis 205, Katsikas, 45500 Ioannina, Greece
3
TRUMPF Werkzeugmaschinen GmbH + Co. KG, Johann-Maus-Straße 2, 71254 Ditzingen, Germany
*
Author to whom correspondence should be addressed.
Received: 20 October 2017 / Revised: 31 October 2017 / Accepted: 3 November 2017 / Published: 8 November 2017
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Abstract

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 function. The other is prime number indexed basis entities taken from the discrete or continuous Fourier basis. View Full-Text
Keywords: fractals; prime numbers; prime counting function; Fourier basis; regularizing polygon transformations fractals; prime numbers; prime counting function; Fourier basis; regularizing polygon transformations
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Vartziotis, D.; Wipper, J. The Fractal Nature of an Approximate Prime Counting Function. Fractal Fract 2017, 1, 10.

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Fractal Fract EISSN 2504-3110 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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