Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces
For n a nonnegative integer, we consider the n-Laplacian ∆ n acting on the space of n-differentials on a confinite Riemann surface X which has ramification points.The trace formula for the resolvent kernel is developed along the line à la Selberg.Using the trace formula, we compute the regularized determinant of …