THE BARNES ζ-FUNCTION, SPHERE DETERMINANTS AND GLAISHER–KINKELIN–BENDERSKY CONSTANTS
From MaRDI portal
Publication:4668090
DOI10.1142/S0219530505000479zbMath1086.11040arXivhep-th/0301143MaRDI QIDQ4668090
Klaus Kirsten, J. Stuart Dowker
Publication date: 18 April 2005
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0301143
Kaluza-Klein and other higher-dimensional theories (83E15) Other Dirichlet series and zeta functions (11M41) Determinants and determinant bundles, analytic torsion (58J52) Hurwitz and Lerch zeta functions (11M35)
Related Items (6)
Heat kernel coefficients for Laplace operators on the spherical suspension ⋮ The Casimir effect for conical pistons ⋮ Dimensional asymptotics of determinants on \(S^n\), and proof of Bär-Schopka's conjecture ⋮ Resurgence of the large-charge expansion ⋮ Zeta determinant for Laplace operators on Riemann caps ⋮ Representations for the derivative at zero and finite parts of the Barnes zeta function
Cites Work
- Heat-kernels and functional determinants on the generalized cone
- Conformal invariants for determinants of Laplacians on Riemann surfaces
- Spectral functions, special functions and the Selberg zeta function
- Polygamma functions of negative order
- Spinors and forms on the ball and the generalized cone
- Basic analysis of regularized series and products
- Effective action in spherical domains
- Free field representation for massive integrable models
- Regularized products and determinants
- One-loop quantum cosmology: \(\zeta\)-function technique for the Hartle-Hawking wave function of the universe
- Zeta regularized products and functional determinants on spheres
- Sur la fonction gamma généralisée
- On some integrals involving the Hurwitz zeta function. II
- Zeta function determinant of the Laplace operator on the \(D\)-dimensional ball
- Magnetic fields and factored two-spheres
- Determinants of Laplacians and Multiple Gamma Functions
- Zeta functions on a product of Einstein manifolds, and the multiplicative anomaly
- AN APPLICATION OF THE THEORY OF THE DOUBLE GAMMA FUNCTION
- A hierarchic array of integrable models
- The vacuum energy density for spherical and cylindrical universes
- Determinants of Laplacians, the Ray–Singer torsion on lens spaces and the Riemann zeta function
- Robin conditions on the Euclidean ball
- On Barnes' multiple zeta and gamma functions
- Sums involving the Hurwitz zeta function
This page was built for publication: THE BARNES ζ-FUNCTION, SPHERE DETERMINANTS AND GLAISHER–KINKELIN–BENDERSKY CONSTANTS
