Asymptotics of Elliptic Genera of Symmetric Products and Dyonic Black   Hole Degeneracy
  We calculate asymptotic expansions of elliptic genera for a supersymmetric sigma model on the N - fold symmetric product S^NM of a Kahler manifold M and for N = 2 superconformal field theory. Asymptotic expansions for the degeneracy of dyonic black hole spectrum are also derived. 
A.A. Bytsenko, A.E. Goncalves and S.D. Odintsov