DETERMINANTS OF THE LAPLACIANS ON THE n-DIMENSIONAL UNIT SPHERE Sn (n = 8, 9) Choi, June-Sang;
During the last three decades, the problem of evaluation of the determinants of the Laplacians on Riemann manifolds has received considerable attention by many authors. The functional determinant for the n-dimensional sphere with the standard metric has been computed in several ways. Here we aim at computing the determinants of the Laplacians on (n = 8, 9) by mainly using ceratin known closed-form evaluations of series involving Zeta function.
Gamma function;Psi-(or Digamma) function;Riemann Zeta function;Hurwitz Zeta function;Selberg Zeta function;Zeta regularized product;Determinants of Laplacians;Series associated with the Zeta functions;