The Riemann Hypothesis Let =sum_n=1^infinity(1)/(n^s) for complex numbers s where the series converges. Question: Prove or disprove that every non-trivial zero of the Riemann zeta function satisfies Re(s)=12 In other words, if =0 and s is a non-trivial zero, prove that s=12+it for some real number t.
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The statement that every non-trivial zero of the Riemann zeta function satisfies is known as the Riemann Hypothesis.
This hypothesis is one of the most famous unsolved problems in mathematics. It has been verified for the first several trillion non-trivial zeros, but a general proof or disproof for all non-trivial zeros has not yet been found.
Therefore, the statement cannot be proven or disproven with current mathematical knowledge.
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