If the Riemann hypothesis is false, how many counterexamples does it have?
If the Riemann hypothesis is false, how many counterexamples does it have?
3
150Ṁ1282999
9%
Four
8%
Eight
10%
Twelve
20%
More than twelve, but finitely many
28%
Countably infinitely many
25%
Uncountably many
If s is a counter-example (i.e. ζ(s) = 0 but −s/2 ∉ ℕ and ℜ(s) ≠ 1/2), then so are s* (the complex conjugate), 1−s, and 1−s*, so the answer must be a multiple of four.
Resolves N/A if the Riemann hypothesis is true.
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