Improved lower bounds > 0 for Riemann Zeta function off the critical line using derivatives of Re(Riemann Siegel Z) function.

<div>Approximate lower bounds > 0, for abs ( ζ ( s )) off the critical line are generated using the real part of the Riemann Siegel function Re(Z(t)) and its first derivative, further supporting the Riemann Hypothesis. An approximation to abs ( ζ ( s )) off the critical line, is then obtained by the rescaled series sum of the Re(Z(t)) and several higher order derivatives.