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Journals and Conferences
We give formulas for the analytic extension of the zeta function of the induced Laplacian L on a disc and on a cone. This allows the explicit computation of the value of the zeta function and of its… (More)
A Hermite type formula is introduced and used to study the zeta function over the real and complex n-projective space. This approach allows to compute the residua at the poles and the value at the… (More)
We express the zeta function associated to the Laplacian operator on S 1 r × M in terms of the zeta function associated to the Laplacian on M , where M is a compact connected Riemannian manifold.… (More)
We present a complete description of the analytic properties of the Barnes double zeta and Gamma functions.
We use relative zeta functions technique of W. Muller  to extend the classical decomposition of the zeta regularized partition function of a finite temperature quantum field theory on a… (More)
From the point of view of differential geometry and mathematical physics, the Riemann zeta function appears as the operator zeta function associated to the Laplacian operator on the line segment … (More)
We study the Reidemeister torsion and the analytic torsion of the m dimensional disc in the Euclidean m dimensional space, using the base for the homology defined by Ray and Singer in . We prove… (More)
We consider a class of singular Riemannian manifolds, the deformed spheres S k , defined as the classical spheres with a one parameter family g[k] of singular Riemannian structures, that reduces for… (More)
We compute the analytic torsion of a cone over a sphere of dimension 1, 2, and 3, and we conjecture a general formula for the cone over an odd dimensional sphere.
The regularized partition function at finite temperature for a massless scalar field interacting with two delta-like external potentials in R 3 is evaluated in an explicit form making use of a… (More)