The nontrivial zeros of the Zeta Function lie on the Critical Line

TL;DR

This paper characterizes solutions to the zeta function's zeros and uses this to provide a proof of the Riemann Hypothesis, asserting all nontrivial zeros lie on the critical line.

Contribution

It offers a new characterization of the zeros of the zeta function and presents a proof of the Riemann Hypothesis based on this characterization.

Findings

Zeros of the zeta function are characterized explicitly.

A proof of the Riemann Hypothesis is provided.

Supports the conjecture that all nontrivial zeros lie on the critical line.

Abstract

In this paper is stablished a characterization of the solutions of the equation: zeta(z) = 0. Then such a characterization is used to give a proof for Riemann is Conjecture.