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Does anyone know who formulated this conjecture related to Riemann's zeta function?

Conjecture. The set $$\{ x : \exists y \space \space \zeta (x+iy) = 0\}$$ is dense in $[0, 1]$.

In other words the conjecture states that the real parts of the nontrivial Zeta zeros are dense in [0, 1]. Some time ago I read about this conjecture in a review paper about Riemann's Zeta function but I cannot remember the name of the author. Other details/references appreciated.

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  • $\begingroup$ I wonder which piece of evidence can support such a conjecture... $\endgroup$ Commented Oct 25, 2020 at 21:48
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    $\begingroup$ Weird. The more usual conjecture is that it consists of just one point. $\endgroup$ Commented Oct 25, 2020 at 21:50
  • $\begingroup$ I know , it's shocking and completely opposite to Riemann's Hypothesis but I guarantee the conjecture exists. I just can't remember who formulated it. I would also be interested in any other details/references related to it. $\endgroup$ Commented Oct 25, 2020 at 21:56
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    $\begingroup$ I suspect it was not so much a conjecture as a way to show just how far away we are from a proof of the Riemann Hypothesis. There is a thread somewhere here on MathOverflow about "outrageous conjectures" like this. Found the thread: mathoverflow.net/questions/259844/… $\endgroup$ Commented Oct 25, 2020 at 22:27
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    $\begingroup$ In the absence of any details about the author, it might help to avoid male pronouns. $\endgroup$ Commented Oct 26, 2020 at 1:02

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