The number of simple modules for the Hecke algebras of type G(r,p,n)   (with an appendix by Xiaoyi Cui)
  We derive a parameterization of simple modules for the cyclotomic Hecke algebras of type $G(r,p,n)$ over field of any (coprime to $p$) characteristic. We give explicit formulas for the number of simple modules over these cyclotomic Hecke algebras. 
Jun Hu