TITLE:
Computational Prooving of Riemann’s Hypothesis
AUTHORS:
Jean Luc Wendkouni Tougma
KEYWORDS:
Complex Function, Differential Equation, Riemann Zeta Function
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.13 No.4,
December
28,
2023
ABSTRACT: Formulated in 1859 by the mathematician Bernhard
Riemann, the Riemann hypothesis is a
conjecture. She says that the Riemann’s Zeta function non-trivial zeros
of all have real part. This demonstration would improve the prime numbers
distribution knowledge. This conjecture constitutes one of the most important
mathematics unsolved problems of the 21st century: it is one of the famous
Hilbert problems proposed in 1900. In this article, a method for solving this
conjecture is given. This work has been started by finding an analytical function which gives a
best accurate 10-8 of particular zeros sample that this number has increased gradually and finally prooving that this function is always
irrational. This demonstration is important as allows Riemann’s zeta function
to be a model function in the Dirichlet series theory and be at the crossroads
of many other theories. Also, it is
going to serve as a motivation and guideline for new studies.