Nardelli, Michele (2010) On some mathematical equations concerning the functions Zeta(s) and Zeta(s,w) and some Ramanujan-type series for 1/pigreco. Mathematical connections with some equations concerning the p-adic open string for the scalar tachyon field and the zeta strings. number theory and physics archive .
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Abstract
In this paper, in the Section 1, we have described some equations concerning the functions Zeta(s)and Zeta(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 described 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.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica > 530.1 Teorie e fisica matematica |
| Depositing User: | Michele Nardelli |
| Date Deposited: | 19 Oct 2010 07:48 |
| Last Modified: | 19 Oct 2010 07:48 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/3040 |
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