Determinants of the Laplacians on the n-dimensional unit sphere S n

Abstract

During the last three decades, the problem of evaluation of the determinants of the Laplacians on Riemann manifolds has received considerable attention from many authors. The functional determinant for the k-dimensional unit sphere with the standard metric has been computed in several ways. Here we aim at computing the determinants of the Laplacians on ( ) by mainly using certain closed-form evaluations of the series involving zeta function. MSC:11M35, 11M36, 11M06, 33B15.

Locations

• Advances in Difference Equations - View - PDF