A Proof of the Riemann's Hypothesis

Abstract

We present a proof of the Riemann's Zeta Hypothesis, based on asymptotic expansions and operations on series. We use the symmetry property presented by Riemann's functional equation to extend the proof to the whole set of complex numbers C. The advantage of our method is that it only uses undergraduate math which makes it accessible to a wider audience.

Keywords: Riemann Hypothesis; Riemann zeta function; Critical Strip; Zeta Zeros; Prime Number Theorem; Asymptotic distribution of the Prime Numbers ; Millennium Problems; Dirichlet series; Dirichlet L-series; Generalized Riemann hypothesis.