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

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.