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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

THE SUM TWO REFLECTIVE POLYNOMIALS AND ITS LINK WITH THE PROOF OF THE RIEMANN HYPOTHESIS

Mathew Curtis1 and Gurudeo Anand Tularam1
  • 1 Griffith University, Australia

Abstract

The investigation into the summation of two polynomials of the same degree under special given conditions results in a polynomial whose solutions follow a pattern that can be easily predicted. In this study, the theory of such polynomials is developed for examination of the integral parts of Riemann’s works. The analysis leads to a theorem that governs the solutions under certain conditions and applying this theorem to the expanded form of the Riemann-Eta function generates expressions that show why the Riemann hypothesis may be true.

Journal of Mathematics and Statistics
Volume 10 No. 1, 2014, 73-79

DOI: https://doi.org/10.3844/jmssp.2014.73.79

Submitted On: 29 June 2013 Published On: 8 February 2014

How to Cite: Curtis, M. & Tularam, G. A. (2014). THE SUM TWO REFLECTIVE POLYNOMIALS AND ITS LINK WITH THE PROOF OF THE RIEMANN HYPOTHESIS. Journal of Mathematics and Statistics, 10(1), 73-79. https://doi.org/10.3844/jmssp.2014.73.79

Open AccessCopyright: © 2014 Mathew Curtis and Gurudeo Anand Tularam. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Polynomial
  • Riemann-Eta Function
  • Riemann Hypothesis