How to Prove the Riemann Hypothesis

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F116F

How to Prove the Riemann Hypothesis

Fayez Fok Al Adeh
Fayez Fok Al Adeh
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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

How to Prove the Riemann Hypothesis

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.

Fayez Fok Al Adeh
Fayez Fok Al Adeh

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Fayez Fok Al Adeh. 2015. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F7): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 14 Issue F7
Pg. 67- 78
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How to Prove the Riemann Hypothesis

Fayez Fok Al Adeh
Fayez Fok Al Adeh

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