Turco, Rosario and Colonnese, Maria and Nardelli, Michele (2009) On the Riemann Hypothesis. Formulas explained  ψ(x) as equivalent RH. Mathematical connections with “Aurea” section and some sectors of String Theory. Dip.Sc.TerraDip.Matem.Unina. (Unpublished)

PDF
NarTuCo1.pdf Download (417kB) 
Abstract
In this work the authors will examine the themes of RH, equivalent RH and GRH. The authors will explain some formulas and will show other special functions that are usually introduced with the PNT and useful to investigate other ways. In the Sections 1 and 2, we describe ψ(x), i.e. the 2nd Chebyshev’s function as equivalent RH. In the Section 3, we describe a step function and a generalization of Polignac. In the Section 4, we describe some equations concerning padic strings, padic and adelic zeta functions, zeta strings and zeta nonlocal scalar fields. In conclusion, in the Section 5, we have described some possible mathematical connections between adelic strings and Lagrangians with Riemann zeta function with some equations in Number Theory above examined.
Item Type:  Article 

Subjects:  500 Scienze naturali e Matematica > 510 Matematica 
Depositing User:  Michele Nardelli 
Date Deposited:  30 Jun 2009 
Last Modified:  20 May 2010 12:02 
URI:  http://eprints.bice.rm.cnr.it/id/eprint/968 
Actions (login required)
View Item 