Published June 16, 2022 | Version v4
Preprint Open

Riemann's Hypothesis. This is why it is true.

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Description

This is the review [v4]. I added 4+4 pages to describe a completely new “third characteristic” of the Riemann's zeta(s) function; I believe that the title is now truly respected.

For some (probably infinite) values of (s) the function zeta(s) converges on the zero of the complex plane; Riemann called them "non-trivial zeros" and assumed that in all these values of (s) the real part is 1/2.

I used a graphical approach to study the first (but sufficient) values generated by the zeta(s) function in the classic version; I also divided the zeta(s) function into its three parts by comparing the results.

From the obtained values I have realized on the complex plane of the funicular polygons; in these funicular polygons I have identified three characteristics that indicate with certainty that Riemann's hypothesis is true.

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00004 Riemann's Hypothesis. This is why it is true.pdf

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