Theoretical Mathematics & Applications

A Purely Mathematical Proof of Riemann Hypothesis

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• Abstract

   

  Riemann hypothesis (RH) is the conjecture that the real part of every non-trivial zero of the Riemann zeta function is 1/2.

  The main contribution of this paper is to achieve the proof of Riemann hypothesis. The key idea to do it is to choose a counter-hypothesis to RH and show that it leads to a (double) contradiction.

   

  MSC 2010 classification numbers: Primary 11A41, 11M06, 11M26.

  Keywords: Riemann Hypothesis, Prime, Conjecture.