Corpus ID: 16968273

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

@article{Woon1998FractalsOT,
  title={Fractals of the Julia and Mandelbrot sets of the Riemann Zeta Function},
  author={S. C. Woon},
  journal={arXiv: Chaotic Dynamics},
  year={1998}
}
  • S. C. Woon
  • Published 27 December 1998
  • Mathematics, Physics
  • arXiv: Chaotic Dynamics
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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References

SHOWING 1-5 OF 5 REFERENCES
THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
This paper considers the question of approximating analytic functions by translations of the Riemann zeta-function.Bibliography: 6 items.
A.3 Open Problem 1. Derive the exact expressions for the bounding curves G L (x) and G U (x)
  • A.3 Open Problem 1. Derive the exact expressions for the bounding curves G L (x) and G U (x)
Acknowledgement Thanks to Michael Rubinstein, Keith Briggs and Gove Effinger for helpful comments
  • Acknowledgement Thanks to Michael Rubinstein, Keith Briggs and Gove Effinger for helpful comments
We shall attempt to derive G L (x) and G U (x) in the next paper
  • We shall attempt to derive G L (x) and G U (x) in the next paper