Nardelli, Michele (2009) On the possible applications of some theorems concerning the Number Theory to the various mathematical aspects and sectors of String Theory I. Dip.Sc.Terra-Dip.Matem.Unina. (Unpublished)
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Abstract
The aim of this paper is that of show the further and possible connections between the p-adic and adelic strings and Lagrangians with Riemann zeta function with some problems, equations and theorems in Number Theory. In the Section 1, we have described some equations and theorems concerning the quadrature- and mean-convergence in the Lagrange interpolation. In the Section 2, we have described some equations and theorems concerning the difference sets of sequences of integers. In the Section 3, we have showed some equations and theorems regarding some problems of a statistical group theory (symmetric groups) and in the Section 4, we have showed some equations and theorems concerning the measure of the non-monotonicity of the Euler Phi function and the related Riemann zeta function. In the Section 5, we have showed some equations concerning the p-adic and adelic strings, the zeta strings and the Lagrangians for adelic strings. In conclusion, in the Section 6, we have described the mathematical connections concerning the various sections previously analyzed. Indeed, in the Section 1, 2 and 3, where are described also various theorems on the prime numbers, we have obtained some mathematical connections with the Ramanujan’s modular equations, thence with the modes corresponding to the physical vibrations of the bosonic and supersymmetric strings and also with p-adic and adelic strings. Principally, in the Section 3, where is frequently used the Hardy-Ramanujan stronger asymptotic formula and are described some theorems concerning the prime numbers. With regard the Section 4, we have obtained some mathematical connections between some equations concerning the Euler Phi function, the related Riemann zeta function and the zeta strings and field Lagrangians for p-adic sector of adelic string (Section 5). Furthermore, in the Sections 1, 2, 3 and 4, we have described also various mathematical expressions regarding some frequency connected with the exponents of the Aurea ratio, i.e. with the exponents of the number Phi. We consider important remember that the number 7 of the various exponents is related to the compactified dimensions of the M-theory.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Scienze naturali e Matematica > 510 Matematica |
| Depositing User: | Michele Nardelli |
| Date Deposited: | 04 May 2009 |
| Last Modified: | 20 May 2010 12:02 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/866 |
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