Tuesday, November 5, 2024

Venezuelan scientists claim to have solved Riemann’s hypothesis

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Professor Rodolfo A. Neves Rivas, a Venezuelan mathematician, with Dr. Pedro Fernandez Navarrete, conceptual advisor; Professor Maximiliano Bandres Diaz, methodological advisor. And engineer Zollner Castellano Babón, in charge of technological verification, presented the Venezuelan Academy of Physical, Mathematical and Natural Sciences a counter-model devised by Neves Rivas, which solves the Riemann hypothesis, an unsolved problem that the world’s great mathematicians have tried for more than a century.

Because of its connotations as “important classic questions that have not been resolved in years,” it was selected in May 2000 by the Clay Institute of Mathematics in Cambridge, Massachusetts, United States, as one of the Seven Millennium Problems.

The Riemann hypothesis is a statement dating from the mid-19th century that refers to the function ζ(s), called the “Riemann zeta function”, specifically to the zeros of that function. Bernard Riemann calculated the first six nontrivial zeros of the zeta function and noticed that they were all on the same line.

In his notes published in 1859, Riemann commented that this could be a general fact. This gave rise to his famous conjecture called the Riemann hypothesis, which states that all non-trivial zeros of the zeta function lie on the line x = 1/2.

Over the years, it has been asserted that the zeta function is involved in many arithmetic problems, so the proof of the Riemann Hypothesis implies that there are more precise asymptotic laws in the field of analytic number theory.

Since 2015, Neves, Fernandez, Bandres and Castellanos have worked to solve this hypothesis, which has already been presented, as a first step towards
The Academy of Physical, Mathematical and Natural Sciences, to evaluate it and express its opinion. It will subsequently be presented to experts from the national and international scientific community.

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