On Some Mathematical equations Concerning the functions z (s) and z (s, w) and Some Ramanujan-type series for 1/pigreco. Mathematical equations Concerning Some connections with the p-adic open string for the scalar tachyon field and the zeta strings.
This is my last work on the connections between string theory and number theory. Below the abstract and link to the article published on the Database of Physics and Number Theory Prof. Watkins, who wanted to read in full.
Abstract
In this paper, in the Section 1, we have described some equations concerning the functions z (s) and z (s,w). In this Section, we have described also some equations concerning a transformation formula involving the gamma and Riemann zeta functions of Ramanujan. Furthermore, we have described also some mathematical connections with various theorems concerning the incomplete elliptic integrals described in the “Ramanujan’s lost notebook”. In the Section 2, we have descrive some Ramanujan-type series for 1/pigreco and some equations concerning the p-adic open string for the scalar tachyon field. In this Section, we have described also some possible and interesting mathematical connections with some Ramanujan’s Theorems, contained in the first letter of Ramanujan to G. H. Hardy. In the Section 3, we have described some equations concerning the zeta strings and the zeta nonlocal scalar fields. In conclusion, in the Section 4, we have showed some possible mathematical connections between the arguments above mentioned, the Palumbo-Nardelli model and the Ramanujan’s modular equations that are related to the physical vibrations of the bosonic strings and of the superstrings.
Link:
Michele Nardelli
