Goldbach, Twin Primes and Polignac Equivalent RH, the Landau’s prime numbers and the Legendre’s conjecture. Mathematical connections with “Aurea” section and some sectors of String Theory

Turco, Rosario and Colonnese, Maria and Nardelli, Michele and Di Maria, Giovanni and Di Noto, Francesco and Tulumello, Annarita (2008) Goldbach, Twin Primes and Polignac Equivalent RH, the Landau’s prime numbers and the Legendre’s conjecture. Mathematical connections with “Aurea” section and some sectors of String Theory. Dip.Sc.Terra-Dip.Matem.Unina. (Unpublished)

[img]
Preview
PDF
NardTurccp.pdf

Download (304kB)

Abstract

In this work the authors will explain and prove in the Section 1 three equivalent RH, which are obtained linking G(N)/N with Li and g(N)/N with Li. Moreover the authors will show a new step function for G(N)/N and, through the GRH, a generalization for Polignac. Furthermore, will explain and prove in the Section 2 an equivalent RH which is linked to the Landau’s prime numbers and discuss on the Legendre’s conjecture and on the infinity of Landau’s prime numbers. In conclusion, we describe in the Section 3 the mathematical connections with aurea ratio and in the Section 4 with some equations concerning p-adic strings, p-adic and adelic zeta functions, zeta strings and zeta nonlocal scalar fields.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 510 Matematica
Depositing User: Michele Nardelli
Date Deposited: 11 Nov 2008
Last Modified: 20 May 2010 12:01
URI: http://eprints.bice.rm.cnr.it/id/eprint/647

Actions (login required)

View Item View Item