Structure of the Prime Distribution within the Sequence of Natural Numbers
Andrei V. Vityazev, Galina V. Pechernikova
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.
Create a lesson
Related papers
A Note on the Measure of Vector and Pythagorean Theorem
Yu. V. Brezhnev
On Weighted Convex Graphs
Angshuman R. Goswami
On characterizations, Decompositions, and Stability of Convex Sequences
Angshuman R. Goswami
New Laplace convolution integrals involving exponential, error, and parabolic cylinder functions with applications in heat transfer and linear viscoelasticity
González Santander, Juan Luis
Resolution of Singularities in Positive Characteristic: Frobenius-Hasse Towers and Exceptional-History Descent
Chenxiao Tian
Information Geometry (IG) Lives at Edge or Boundary of SMG (statistically meaningful geometry): - the First Edge Theorem and Applications
Bing Cheng, Yi-Shuai Niu, Howell Tong et al.