Recurrence formulae for spectral determinants

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Recurrences (11B37) Other Dirichlet series and zeta functions (11M41) Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

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Ten physical applications of spectral zeta functions.
Spectral functions, special functions and the Selberg zeta function
Extremals of determinants of Laplacians
Zeta function regularization of path integrals in curved spacetime
Certain classes of series associated with the zeta function and multiple gamma functions
The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions
Connections between central factorial numbers and Bernoulli polynomials
Determinants of the Laplacians on the \(n\)-dimensional unit sphere \(S^n\)
Zeta regularized products and functional determinants on spheres
On the spectral zeta functions of the Laplacians on the projective complex spaces and on the \(n\)-spheres
The \(r\)-central factorial numbers with even indices
Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review
Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
An asymptotic expansion for the heat equation
R-torsion and the Laplacian on Riemannian manifolds
Integration in Functional Spaces and its Applications in Quantum Physics
Central Factorial Numbers and Values of Bernoulli and Euler Polynomials at Rationals
Determinants of Laplacians and Multiple Gamma Functions
Central factorial numbers; their main properties and some applications.
Zeta Regularized Products
Functional determinants on spheres and sectors
Zeta determinant of the Laplacian on the real projective spaces
The determinant of the Laplacian on the n-sphere
Analytic torsion of half spheres
The Resolvent of an Elliptic Boundary Problem
Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
Critical metrics for the determinant of the Laplacian in odd dimensions

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