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New Theories / Re: What makes Riemann's Hypothesis Hard to Prove?
« on: Yesterday at 17:32:28 »
Y function shows that in the critical strip, Zeta (s) can only equal to Zeta (1-s*), ie it's reflection by the critical line, if Re(s) =1/2, which means they are both occupy the same spot on the critical line.
On the other hand, violations of Riemann's hypothesis require zero out of the critical line. It implies that Zeta (s) can equal to zero, and equal to Zeta (1-s*) while not occupying the same point. It's in direct contradiction with the property of Y function.
Whenever two statements contradict each other, at least one of them must be false. If they are complementary to each other, ie. there's no third option, then one must be true, and the other false.
On the other hand, violations of Riemann's hypothesis require zero out of the critical line. It implies that Zeta (s) can equal to zero, and equal to Zeta (1-s*) while not occupying the same point. It's in direct contradiction with the property of Y function.
Whenever two statements contradict each other, at least one of them must be false. If they are complementary to each other, ie. there's no third option, then one must be true, and the other false.