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the statement cannot be proven or disproven with current mathematical knowledge
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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The statement that every non-trivial zero of the Riemann zeta function satisfies Re(s)=(1)/(2) is known as the Riemann Hypothesis.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.