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Scholars Journal of Physics, Mathematics and Statistics | Volume-2 | Issue-02
How to prove the Riemann Hypothesis
Fayez Fok Al Adeh
Published: April 28, 2015 | 113 82
DOI: 10.36347/sjpms
Pages: 205-216
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Abstract
I have already discovered a simple proof of the Riemann Hypothesis. The hypothesis states that the nontrivial zeros of the Riemann zeta function have real part equal to 0.5 . I assume that any such zero is s =a+ bi .I use integral calculus in the first part of the proof. In the second part I employ variational calculus. Through equations (50) to (59) I consider (a) as a fixed exponent , and verify that a = 0.5 .From equation (60) onward I view (a) as a parameter (a <0.5 ) and arrive at a contradiction. At the end of the proof (from equation (73)) and through the assumption that (a) is a parameter, I verify again that a = 0.5