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.Terra-Dip.Matem.Unina. (Unpublished)
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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 p-adic strings, p-adic 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 |
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