TITLE:
Riemann Hypothesis, Catholic Information and Potential of Events with New Techniques for Financial and Other Applications
AUTHORS:
Prodromos Char. Papadopoulos
KEYWORDS:
Twin Problem, Twin’s Problem, Unsolved Mathematical Problems, Prime Number Problems, Millennium Problems, Riemann Hypothesis, Riemann’s Hypothesis, Number Theory, Information Theory, Probabilities, Statistics, Management, Financial Applications, Arithmetical Analysis, Optimization Theory, Stock Exchange Mathematics, Approximation Methods, Manifolds, Economical Mathematics, Random Variables, Space of Events, Strategy Games, Probability Density, Stock Market, Technical Analysis, Forecasting
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.11 No.5,
May
31,
2021
ABSTRACT: In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic (general) Logical Propositions () which will true for every element of a set A. We will study the Riemann Hypothesis in two stages: a) By using the EP we will prove that the distribution of events e (even) and o (odd) of Square Free Numbers (SFN) on the axis Ax(N) of naturals is Heads-Tails (H-T) type. b) By using the CI we will explain the way that the distribution of prime numbers can be correlated with the non-trivial zeros of the function ζ(s) of Riemann. The Introduction and the Chapter 2 are necessary for understanding the solution. In the Chapter 3 we will present a simple method of forecasting in many very useful applications (e.g. financial, technological, medical, social, etc) developing a generalization of this new, proven here, theory which we finally apply to the solution of RH. The following Introduction as well the Results with the Discussion at the end shed light about the possibility of the proof of all the above. The article consists of 9 chapters that are numbered by 1, 2, …, 9.