GENERALIZED ARTINA HYPOTHESIS AND COMPUTER INFORMATION MODEL ITS SOLUTIONS

DOI: https://doi.org/10.15276/eltecs.29.105.2018.13

Abstract

In this paper, computer simulation methods are used to study the properties of primes as a dynamically developing system. It is shown that unsolved problems in the theory of numbers severely limit the further development of mathematical science in both theoretical and applied aspects. The foundations of experimental mathematics are formed as a tool for constructing information technologies in pure and applied number theory. On the basis of Artin's hypothesis, a generalized hypothesis is formed and shown as a means of non-linear dynamical processes to obtain a sufficiently accurate solution of it.

Author Biographies

George Vostrov, Odessa national polytechnic university

D. of Technical Sciences, Associate Professor of the Department of Applied Mathematics and Information Technologies, Odessa National Polytechnic University

Roman Opiata, Odessa national polytechnic university

PhD student of the Department of Applied Mathematics and Information Technologies, Odessa National Polytechnic University

Published
2019-01-22
Issue
No. 29(105) (2018): Electrotechnic and Computer Systems
Section
Computer Systems, Networks and their Components

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