Riemann's zeta function fractal because of Voronin?

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SUMMARY

The discussion centers on the relationship between the Riemann zeta function and fractals, specifically referencing the Voronin Theorem. The Voronin Theorem establishes the universality of the Riemann zeta function, suggesting that it exhibits fractal-like properties despite not fitting the classic definition of a fractal. Participants express confusion over the specific aspects of fractals being invoked in this context, indicating a need for further clarification and exploration of the theorem's implications.

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nomadreid
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Riemann's zeta function "fractal" because of Voronin?

I am not sure which rubric this belongs to, but since the zeta function is involved, I am putting it here.
I noticed a comment (but was in too much of a hurry to remember the source) that, because of the "universality" of the Riemann zeta function as expressed in the Voronin Theorem, that the zeta function was in some form "fractal". I do not understand what aspect of fractals was being invoked in that comment, since the function does not fit the classic definition of a fractal as far as I can see. Any clues? Thanks.
 
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Many thanks, Churnhouse!
 

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