Structure of the Prime Distribution within the Sequence of Natural Numbers
General Mathematics
2007-05-23 v1
Abstract
In the course of studies of the measure of chaos for the distribution of the prime numbers among the positive integers N arched structures have been found. It is given a brief description of the fine structure of the positive integers sequence, including the distribution of the prime numbers. A new non-Eratostenian sieve was built to demonstrate the multi-periodicity in the structure of the positive integers sequence. This sieve presents an infinite triangular matrix, which is named by us as R-matrix (Russian matrix). The simple deterministic equations for prime numbers and the main term of asymptotic were derived with the use of this matrix.
Cite
@article{arxiv.math/0609797,
title = {Structure of the Prime Distribution within the Sequence of Natural Numbers},
author = {Andrei V. Vityazev and Galina V. Pechernikova},
journal= {arXiv preprint arXiv:math/0609797},
year = {2007}
}
Comments
10 pages, 4 figures, 2 tables