Nardelli, Michele (2008) On some mathematical connections concerning the threedimensional pure quantum gravity with negative cosmological constant, the Selberg zetafunction, the tendimensional anomaly cancellations, the vanishing of cosmological constant, and some sectors of String Theory and Number Theory. Dip.Sc.TerraDip.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 (Unpublished)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 threedimensions, in the Selberg zeta function, in the vanishing of cosmological constant and in the tendimensional anomaly cancellations. In the Section 1, we have described some equations concerning the pure threedimensional quantum gravity with a negative cosmological constant and the pure threedimensional supergravity partition functions. In the Section 2, we have described some equations concerning the Selberg Supertrace formula for SuperRiemann surfaces, some analytic properties of Selberg Super zetafunctions and multiloop contributions for the fermionic strings. In the Section 3, we have described some equations concerning the tendimensional anomaly cancellations and the vanishing of cosmological constant. In the Section 4, we have described some equations concerning padic strings, padic 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 superzeta 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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