Zeta functions and regularized determinants on projective spaces

Details Zeta functions and regularized determinants on projective spaces Zeta functions and regularized determinants on projective spaces

2001-10-17

arxiv.org/abs/math/0110175v1

Mathematics

Functional Analysis

11 pages, 2 figures

Scientific paper

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 origin as well as the value of the
derivative at the origin, that gives the regularized determinant of the
associated Laplacian operator.

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