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Zeta determinant of the Laplacian on the real projective spaces. (English) Zbl 1441.11233

Summary: We give a closed form evaluation of the zeta determinant of the Laplace operator on spheres and projective spaces that clearly describes the arithmetic structure of this number. All the factors in the final formula for the determinant are easily computable.

MSC:

11M41 Other Dirichlet series and zeta functions
58J52 Determinants and determinant bundles, analytic torsion
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References:

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