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Borwein, J.M. and Borwein, P.B. (1998) Pi and the AGM. Canadian Mathematical Society Series of Monographs and Advanced Texts, 4. John Wiley & Sons Inc., New York. A Study in Analytic Number Theory and Computational Complexity; Reprint of the 1987 Original, A Wiley-Interscience Publication.

has been cited by the following article:

• TITLE: The Towering Zeta Function

  AUTHORS: Michael M. Anthony

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

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.5, April 26, 2016

  ABSTRACT: 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.