The Fractal Nature of an Approximate Prime Counting Function

[摘要] 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.

[学科分类] 数值分析

[关键词] fractals;prime numbers;prime counting function;Fourier basis;regularizing polygon transformations