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

1998/12/27 by S. C. Woon, Woon, S. C.
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9812031

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

arxiv created 1998/12/27 · arxiv updated 2009/11/30

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.

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