The irrelevance of the location of Riemann's zeros to the disposition of the prime numbers

Academic Paper , 2022 , 18 Pages , Grade: 2.2

Mathematics - Analysis

It is shown that there is a direct connection between the Riemann zeros, the counting numbers, and hence the prime numbers, but not in the so-called Critical Strip.

A mathematical structure is developed in which the articulation of the numerical location of a Riemann zero in the sequence of zeros is sufficient to determine the counting number with which it is associated, its location, Im(s) on the line of symmetry and, the Gauss/Legendre prime number counting function.

It is concluded that the disposition of the prime numbers within the system of counting numbers is solely an intrinsic characteristic of that system and is totally unrelated to the distribution of the Riemann zeros.

• Grade: 2.2
• Author: William Fidler (Author)
• Publication Year: 2022
• Pages: 18
• Catalog Number: V1191150
• ISBN (PDF): 9783346634146
• ISBN (Book): 9783346634153
• Language: English
• Tags: riemann