Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level   2, 3, and 5
  We give arithmetic formulas for the coefficients of Hauptmoduln of higher levels as analogues of Kaneko's result. We also obtain their asymptotic formulas by employing Murty-Sampath's method. 
Toshiki Matsusaka and Ryotaro Osanai
math.NT