  This paper proposes a reformulation of the Riemann Xi function in order to
investigate its properties. The reformulated function, which depicts the Xi
function as the weighted sum of incomplete gamma functions, is validated, and a
number of properties are established. These properties are then used to analyze
the intersection of the real and imaginary zero level curves. It is shown that
a pair of zeros off the critical line is not consistent with these properties,
thus validating the Riemann hypothesis.
