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

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Keywords

  • Polynomial
  • Riemann-Eta Function
  • Riemann Hypothesis