Аннотация:
Abstract. The relationship between the processes of formation of classes of
primes in the generalized Artin’s hypothesis and the theory of information, and as a
consequence, information technology, is investigated.
It is proved that probabilistic methods of the theory of information and
information technologies are the basis for constructing computer models of classes of
primes in accordance with the generalized Artin’s hypothesis. Methods for calculating
the Artin’s constants are developed and the convergence of the estimates of the
constants in probability to limit values is established. The foundations of a numbertheoretic
analysis of Artin's constants and related classes are created.
