A Simple Solution to a Major Problem: Proof of the Riemann Hypothesis

TL;DR

This paper claims to prove the Riemann Hypothesis by demonstrating that the only sigma satisfying certain conditions related to the zeta function is 1/2, thus confirming all non-trivial zeros lie on the critical line.

Contribution

It provides a proof that the non-trivial zeros of the zeta function must have real part 1/2, claiming to resolve the longstanding Riemann Hypothesis.

Findings

sigma = 1/2 is the only solution satisfying the conditions

Non-trivial zeros of zeta function lie on the critical line

Proof addresses symmetry and magnitude conditions of zeta(s)

Abstract

Starting from the symmetrical reflection functional equation of the zeta function, we have found that the sigma values satisfying zeta(s) = 0 must also satisfy both |zeta(s)| = |zeta(1 - s)| and |gamma(s/2)zeta(s)| = |gamma((1 - s)/2)zeta(1 - s)|. We have shown that sigma = 1/2 is the only numeric solution that satisfies this requirement.