A study on zeroes of the function z (z) of Riemann
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Mathematician Vasiliu Lucilius


Five Major Theoretical Breakthroughs in the Superior Mathematics

Chapter 1.
Fractional powers with rational exponent of the monotonous operators of class on

Chapter 2.
Using the symmetry group in demonstrating the radiality of several semilinear biharmonic equations' solutions

Chapter 3.
A study on zeroes of the function (z) of Riemann

Chapter 4.
The problem of invariant Subspaces

Chapter 5.
A study on Navier-Stokes equations

Riemann's hypothesis is considered at this moment the most important mathematical problem due to its numerous connections which it realizes to different domains, which apparently seem separated to those of mathematics.

In this study, the author manages to transform the problem from a Complex Analysis problem into a Convex Functional Analysis problem, thus obtaining a geometrical algorithm for generating the zeroes to Riemann's function (z).

So, the problem is geometrized and algorithmized. In 2004 it has been considered, even by prestigious specialists from U.S.A., as the best writing in this extremely fascinating and difficult domain at the same time, the one of analytical theory of numbers.

The reader who is interested of these aspects, may find in this study essential ideas to approaching some problems which are situated beyond Riemann's Hypothesis, such it would be Riemann's Generalized Hypothesis or The Great Hypothesis of Riemann.

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