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


Academic Paper, 2022

18 Pages, Grade: 2.2


Abstract or Introduction

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.

Details

Title
The irrelevance of the location of Riemann's zeros to the disposition of the prime numbers
Grade
2.2
Author
Year
2022
Pages
18
Catalog Number
V1191150
ISBN (eBook)
9783346634146
ISBN (Book)
9783346634153
Language
English
Keywords
riemann
Quote paper
William Fidler (Author), 2022, The irrelevance of the location of Riemann's zeros to the disposition of the prime numbers, Munich, GRIN Verlag, https://www.grin.com/document/1191150

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