Michele Nardelli

Abstract In this paper we have described in the Section 1, some equations concerning the stellar evolution and their stability. In the Section 2, we have described some equations concerning the perturbations of Schwarzschild black-hole, the Reissner-Nordstrom solution and the Schwarzschild geometry in D = d + 1 dimensions. Furthermore, in these sections, we have showed the mathematical connections with some sectors of Number Theory, principally with the Ramanujan’s modular equations and the aurea ratio (or golden ratio) This is the link for the lecture of the whole paper: http://nardelli.xoom.it/BH1.pdf Michele Nardelli

Questo è il mio nuovo articolo sulle connessioni tra alcuni settori della Teoria dei Numeri ed alcuni settori della Teoria delle Stringhe. Il titolo è: On the Andrica and Cramer’s Conjectures. Mathematical connections between Number Theory and some sectors of String Theory Qui di seguito l'Abstract Abstract In this paper we have described, in the Section 1 , some mathematics concerning the Andrica’s conjecture. In the Section 2 , we have described the Cramer –Shank Conjecture. In the Section 3 , we have described some equations concerning the possible proof of the Cramer’s conjecture and the related differences between prime numbers, principally the Cramer’s conjecture and Selberg’s theorem. In the Section 4 , we have described some equations concerning the p-adic strings and the zeta strings. In the Section 5 , we have described some equations concerning the -deformation in toroidal compactification for N = 2 gauge theory. In conclusion, in the Section 6 , we have described some p...