Nardelli, Michele (2008) On some mathematical connections concerning the three-dimensional pure quantum gravity with negative cosmological constant, the Selberg zeta-function, the ten-dimensional anomaly cancellations, the vanishing of cosmological constant, and some sectors of String Theory and Number Theory. Dip.Sc.Terra-Dip.Matem.Unina. (Unpublished)
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Abstract
This paper is a review of some interesting results that has been obtained in the study of the quantum gravity partition functions in three-dimensions, in the Selberg zeta function, in the vanishing of cosmological constant and in the ten-dimensional anomaly cancellations. In the Section 1, we have described some equations concerning the pure three-dimensional quantum gravity with a negative cosmological constant and the pure three-dimensional supergravity partition functions. In the Section 2, we have described some equations concerning the Selberg Super-trace formula for Super-Riemann surfaces, some analytic properties of Selberg Super zeta-functions and multiloop contributions for the fermionic strings. In the Section 3, we have described some equations concerning the ten-dimensional anomaly cancellations and the vanishing of cosmological constant. In the Section 4, we have described some equations concerning p-adic strings, p-adic and adelic zeta functions and zeta strings. In conclusion, in the Section 5, we have described the possible and very interesting mathematical connections obtained between some equations regarding the various sections and some sectors of Number Theory (Riemann zeta functions, Ramanujan modular equations, etc…) and some interesting mathematical applications concerning the Selberg super-zeta functions and some equations regarding the Section 1.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Scienze naturali e Matematica > 510 Matematica |
| Depositing User: | Michele Nardelli |
| Date Deposited: | 07 Jun 2008 |
| Last Modified: | 20 May 2010 12:01 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/566 |
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