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- At the death of Riemann, a note was found among his papers, saying "These properties of ζ are deduced from an expression of it which, however, I did not succeed in simplifying enough to publish it."
We still have not the slightest idea of what the expression could be. As to the properties he simply enunciated, some thirty years elapsed before I was able to prove all of them but one [the Riemann Hypothesis itself]. (en)
- ... it is very probable that all roots are real. Of course one would wish for a rigorous proof here; I have for the time being, after some fleeting vain attempts, provisionally put aside the search for this, as it appears dispensable for the immediate objective of my investigation. (en)
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