Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The determinant of the Laplacian on the n-sphere - MaRDI portal

The determinant of the Laplacian on the n-sphere

From MaRDI portal
Publication:4719652

DOI10.4064/aa-91-3-199-208zbMath0946.11021OpenAlexW2126738153MaRDI QIDQ4719652

Hiroshi Kumagai

Publication date: 5 January 2000

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207351




Related Items (27)

Multiple Gamma Functions and Their ApplicationsAsymptotic expansions for Barnes \(G\)-functionSome mathematical constantsDeterminants of the Laplacians on the \(n\)-dimensional unit sphere \(S^n\)Functional determinant of Laplacian on Cayley projective plane \(\mathbf{P}^{2}(\text{Cay})\)A set of mathematical constants arising naturally in the theory of the multiple Gamma functionsTheF-theorem andF-maximizationAsymptotic expansions and complete monotonicity properties for the Barnes \(G\)-functionThe spectral properties of a continuous family of zeta functionsAsymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constantsAsymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representationThe four-dimensional Yang-Mills partition function in the vicinity of the vacuumRegularized determinant of the Laplacian on forms over spheresExplicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a reviewZeta determinant of the Laplacian on the real projective spacesUnified treatment of several asymptotic expansions concerning some mathematical constants\(F\)-theorem without supersymmetryMore asymptotic expansions for the Barnes \(G\)-functionAsymptotic expansions for certain mathematical constants and special functionsDeterminants of the Laplacians on complex projective spaces \(\mathbf{P}^n(\mathbb{C})(n\geq 1)\)Inequalities associated with Barnes \(G\)-functionOn the spectral zeta functions of the Laplacians on the projective complex spaces and on the \(n\)-spheresSeries involving the zeta function and multiple Gamma functionsSymbolic and numeric computations of the Barnes functionSome two-sided inequalities for multiple Gamma functions and related resultsFree energy and defect \(C\)-theorem in free scalar theorySome new properties of the Barnes G-function and related results




This page was built for publication: The determinant of the Laplacian on the n-sphere