Small eigenvalues of the Laplace operator on compact Riemann surfaces
Burton Randol · Bulletin of the American Mathematical Society · 1974
Let Sf be a compact Riemann surface, which we will assume to have curvature normalized to be — 1 , and let 0=A0 0) , and satisfying a growth condition of the form \h(z) = 0 ( l + |z|)~, uniformly in the strip. Associate with the sequence o(%)> hix)* ' ' • of eigenvalues, a sequence R, consisting of those numbers r(x) that satisfy the equations hn(%)=l+r (x) (n=0, 1, 2, • • •)• Apart