General Mathematics


On The Riemann Zeta Function

Authors: Jonathan W. Tooker

We discuss the Riemann zeta function, the topology of its domain, and make an argument against the Riemann hypothesis. While making the argument in the classical formalism, we discuss the material as it relates to the theory of infinite complexity (TOIC). We extend Riemann's own (planar) analytic continuation $\mathbb{R}\to\mathbb{C}$ into (bulk) hypercomplexity with $\mathbb{C}\to\,^\star\mathbb{C}$. We propose a solution to the Banach--Tarski paradox.

Comments: 13 Pages. 13 figures

Download: PDF

Submission history

[v1] 2017-03-07 21:27:59
[v2] 2017-03-25 15:03:46
[v3] 2017-03-30 02:27:52
[v4] 2018-05-21 17:17:09

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