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 itsâ€¦ (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 theâ€¦ (More)

We express the zeta function associated to the Laplacian operator on S 1 r Ã— M in terms of the zeta function associated to the Laplacian on M , where M is a compact connected Riemannian manifold.â€¦ (More)

We use relative zeta functions technique of W. Muller [19] to extend the classical decomposition of the zeta regularized partition function of a finite temperature quantum field theory on aâ€¦ (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 [18]â€¦ (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 [20]. We proveâ€¦ (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 forâ€¦ (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 aâ€¦ (More)