3 results for “Riemann hypothesis”

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Research ArticleOpen accessPhrase in the titleTHE SUM TWO REFLECTIVE POLYNOMIALS AND ITS LINK WITH THE PROOF OF THE RIEMANN HYPOTHESISMathew Curtis, Gurudeo Anand TularamThe 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 … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 8 Feb 2014 · 7,093 accessesView PDF Cite

Research ArticleOpen accessPhrase in the titleA Numerical Test on the Riemann Hypothesis with ApplicationsN. K. Oladejo, I. A. AdetundeProblem statement: The Riemann hypothesis involves two products of the zeta function ζ(s) which are: Prime numbers and the zeros of the zeta function ζ(s). It states that the zeros of a certain complex-valued function ζ (s) of a complex number s ≠ 1 all have a special form, which may be trivial or non trivial. Zeros at the negative … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,859 accessesView PDF Cite

Research ArticleOpen accessIn the abstractProof of Analytic Extension Theorem for Zeta Function Using Abel Transformation and Euler ProductMbaitiga ZacharieProblem statement: In the prime number the Riemann zeta function is unquestionable and undisputable one of the most important questions in mathematics whose many researchers are still trying to find answer to some unsolved problems such as Riemann Hypothesis. In this study we proposed a new method that proves the analytic extension theorem for zeta function. Approach: Abel transformation was … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,923 accessesView PDF Cite