Determinants of the Laplacians on the \(n\)-dimensional unit sphere \(S^n\)

DOI10.1186/1687-1847-2013-236zbMath1375.11061OpenAlexW2036443541WikidataQ59299452 ScholiaQ59299452MaRDI QIDQ1682165

Junesang Choi

Publication date: 28 November 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-236

zbMATH Keywords

gamma functionHurwitz zeta functionRiemann zeta functionSelberg zeta functionpsi-functiondeterminants of Laplaciansdigamma-functionseries associated with the zeta functionszeta regularized product

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) 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 (2)

Inequalities involving the multiple psi function ⋮ A complete monotonicity property of the multiple gamma function

Cites Work

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• On determinants of Laplacians on Riemann surfaces
• Determinants of Laplacians
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• Extremals of determinants of Laplacians
• Certain classes of series associated with the zeta function and multiple gamma functions
• Zeta regularized products and functional determinants on spheres
• DETERMINANTS OF THE LAPLACIANS ON THE n-DIMENSIONAL UNIT SPHERE Sⁿ(n = 8, 9)
• Determinants of Laplacians and Multiple Gamma Functions
• Zeta Regularized Products
• AN APPLICATION OF THE THEORY OF THE DOUBLE GAMMA FUNCTION
• The determinant of the Laplacian on the n-sphere
• Some series involving the zeta function

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