J. Mckay et A. Sebbar, FUCHSIAN-GROUPS, SCHWARZIANS, AND THETA-FUNCTIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(4), 1998, pp. 343-348
We describe a family of Fuchsian groups of genus zero, for which the S
chwarzians of their Hauptmoduls an holomorphic automorphic forms of we
ight 4, which coincide with theta functions of certain root lattices o
f rank 8. (C) Academie des Sciences/Elsevier, Paris