Journal of Generalized Lie Theory and Applications

How to Prove the Riemann Hypothesis

Fayez Fok Al Adeh

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Abstract

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.

Article information

Source
J. Gen. Lie Theory Appl., Volume 10, Number 1 (2016), 5 pages.

Dates
First available in Project Euclid: 3 February 2017

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1486090829

Digital Object Identifier
doi:10.4172/1736-4337.1000250

Zentralblatt MATH identifier
1256.11047

Keywords
Definite integral Indefinite integral Variational calculus

Citation

Al Adeh, Fayez Fok. How to Prove the Riemann Hypothesis. J. Gen. Lie Theory Appl. 10 (2016), no. 1, 5 pages. doi:10.4172/1736-4337.1000250. https://projecteuclid.org/euclid.jglta/1486090829


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