Fractals of the Julia and Mandelbrot sets of the Riemann Zeta Function

Abstract

Computations of the Julia and Mandelbrot sets of the Riemann zeta function and observations of their properties are made. In the appendix section, a corollary of Voronin's theorem is derived and a scale-invariant equation for the bounds in Goldbach conjecture is conjectured.

17 pages, 12 figures (20 eps files), LaTeX, \usepackage[dvips]

Cited by in corpus (2)

• Fractal Geography of the Riemann Zeta Function
• Experiments with the dynamics of the Riemann zeta function