%0 Journal Article %T Notes on the Zeros of Riemann's Zeta Function %A Michael S. Milgram %J Mathematics %D 2009 %I arXiv %X The functional equation for Riemann's Zeta function is studied, from which it is shown why all of the non-trivial, full-zeros of the Zeta function $\zeta (s)$ will only occur on the critical line {$\sigma=1/2$} where {$s=\sigma+I \rho$}, thereby establishing the truth of Riemann's hypothesis. Further, two relatively simple transcendental equations are obtained; the numerical solution of these equations locates all of the zeros of {$\zeta (s)$} on the critical line. %U http://arxiv.org/abs/0911.1332v3