Zeta regularized determinant of the Laplacian for classes of spherical space forms

DOI10.1016/j.geomphys.2007.09.007zbMath1139.58021OpenAlexW2088761171MaRDI QIDQ2474528

Wolfram Bauer, Kenro Furutani

Publication date: 6 March 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.09.007

zbMATH Keywords

Hurwitz zeta functiongenerating functionlens spacespherical space formspectral zeta functionzeta regularized determinant

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Hurwitz and Lerch zeta functions (11M35)

Related Items (4)

Spectra of orbifolds with cyclic fundamental groups ⋮ Zeta determinant of the Laplacian on the real projective spaces ⋮ Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\) ⋮ Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant

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