Author(s)

Michael M. Anthony

Enertron Corp., Hohenwald, TN, USA.

Over a century and half has passed when Bernhard Riemann hypothesized that the non-trivial roots of the Riemann zeta function ζ(s) all lie on the half-line . In this paper the Zeta function is iterated as a power tower and its properties are applied as an approach to an indication that the Riemann hypothesis might be true. It is known that complex valued Power towers converge under certain conditions to exponential power towers of entire functions. These properties can be used to resolve the Riemann Hypothesis.

Riemann Hypothesis, Zeta, Power Towers, Convergence, Exponential Iterations

Anthony, M. (2016) The Towering Zeta Function. Advances in Pure Mathematics, 6, 351-392. doi: 10.4236/apm.2016.65026.