The Riemann hypothesis may be true twice.
I updated the activity correcting my mistake.
The result has not changed, but in the previous version it was obtained incorrectly.
For further explanations I refer to the revision [v02] of the preprint:
https://doi.org/10.5281/zenodo.17472974 For the English version.
https://doi.org/10.5281/zenodo.17472950 For the Italian version.
I am so convinced that the Riemann Hypothesis is true that I like to say that it may be true twice.
This activity uses a version of the Riemann zeta function where the values of (n) are negative. The "non-obvious" zeros of this zeta function turn out to have the real part -1/2.
In this activity, two convergence points are displayed (I would prefer them to be called "Last Origin").
The red one corresponds to the trace generated by this activity, the green one is its mirror copy with respect to the imaginary axis.
The green dot therefore indicates the point of convergence resulting from the Riemann zeta function for (a) of opposite sign and for the same (b).
On zenodo.org you can find a preprint of mine entitled: "Traces of the Riemann zeta function on the complex plane".
For those interested:
This is the link to the latest update of the English version.
http://doi.org/10.5281/zenodo.8026759
This is the link to the latest update of the Italian version.
http://doi.org/10.5281/zenodo.8026728