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.
Hartmann, L., Spreafico, M. (2019). Zeta determinant of the Laplacian on the real projective spaces. INTERNATIONAL JOURNAL OF NUMBER THEORY, 15(2), 373-388 [10.1142/S1793042119500192].
Zeta determinant of the Laplacian on the real projective spaces
Spreafico M.
2019
Abstract
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.
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