Open Access
2016 How to Prove the Riemann Hypothesis
Fayez Fok Al Adeh
J. Gen. Lie Theory Appl. 10(1): 1-5 (2016). DOI: 10.4172/1736-4337.1000250


The aim of this paper is to prove the celebrated 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.


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Fayez Fok Al Adeh. "How to Prove the Riemann Hypothesis." J. Gen. Lie Theory Appl. 10 (1) 1 - 5, 2016.


Published: 2016
First available in Project Euclid: 3 February 2017

zbMATH: 1256.11047
Digital Object Identifier: 10.4172/1736-4337.1000250

Keywords: Definite integral , Indefinite integral , variational calculus

Rights: Copyright © 2016 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.10 • No. 1 • 2016
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