Zeta Regularized Products
From MaRDI portal
Publication:4201535
DOI10.2307/2154453zbMath0774.30030OpenAlexW4237283054MaRDI QIDQ4201535
No author found.
Publication date: 25 August 1993
Full work available at URL: https://doi.org/10.2307/2154453
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Elliptic functions and integrals (33E05) Representations of entire functions of one complex variable by series and integrals (30D10) Hypergeometric functions (33C99)
Related Items
Zeta determinant for double sequences of spectral type ⋮ Warped Weyl fermion partition functions ⋮ Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model ⋮ Multiple Gamma Functions and Their Applications ⋮ A Duistermaat-Heckman type formula for the based loop group ⋮ Determinants of the Laplacians on the \(n\)-dimensional unit sphere \(S^n\) ⋮ Erratum to: ``Supersymmetric localization: \(\mathcal{N} = (2, 2)\) theories on \(\mathrm{S}^2\) and \(\mathrm{AdS}_2\) ⋮ Zeta functions for the Riemann zeros. ⋮ Perturbative \(N=2\) supersymmetric quantum mechanics and L-theory with complex coefficients ⋮ The (anti-)holomorphic sector in \(\mathbb{C}/\Lambda\)-equivariant cohomology, and the Witten class ⋮ Determinant of Laplacians on Heisenberg manifolds. ⋮ Supersymmetric field theories and the elliptic index theorem with complex coefficients ⋮ A Double Stirling Formula ⋮ Riemann zeta zeros and zero-point energy ⋮ The zeta-regularized product of odious numbers ⋮ Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant ⋮ 5D super Yang-Mills on \(Y^{p,q}\) Sasaki-Einstein manifolds ⋮ AGT relation in the light asymptotic limit ⋮ Zeta regularized products and functional determinants on spheres ⋮ ASYMPTOTICS OF SPACING DISTRIBUTIONS AT THE HARD EDGE FOR β-ENSEMBLES ⋮ Five-dimensional cohomological localization and squashed \(q\)-deformations of two-dimensional Yang-Mills theory ⋮ Functional equations of Selberg and Ruelle zeta functions for non-unitary twists ⋮ SPECTRAL ZETA FUNCTIONS FOR THE QUANTUM RABI MODELS ⋮ Heat kernel for the quantum Rabi model: II. Propagators and spectral determinants
Cites Work
- Spectral functions, special functions and the Selberg zeta function
- Extremals of determinants of Laplacians
- A proof of the classical Kronecker limit formula
- Zeta regularized products and functional determinants on spheres
- Curvature and the eigenvalues of the Laplacian
- R-torsion and the Laplacian on Riemannian manifolds
- A Double Stirling Formula
- Determinants of Laplacians and Multiple Gamma Functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item