%0 Journal Article
%T The Towering Zeta Function
%A Michael M. Anthony
%J Advances in Pure Mathematics
%P 351-392
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.65026
%X Over a century and half has passed when Bernhard Riemann hypothesized
that the non-trivial roots of the Riemann zeta function <i>¦Æ</i>(<i>s</i>)<i> </i>all lie on the
half-line <img src=\"Edit_3e13724e-5042-4a0c-9041-f49fe68aeb07.bmp\" alt=\"\" />. 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.
%K Riemann Hypothesis
%K Zeta
%K Power Towers
%K Convergence
%K Exponential Iterations
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=65860