Parametric rectilinearization for p-adic semi-algebraic sets and   rationality of p-adic integrals
  We present a rectilinearization theorem for p-adic semi-algebraic sets depending on parameters. As an application of our main theorem we present an alternative proof of a rationality result for parametric p-adic inte- grals, due to Denef. 
Eva Leenknegt
math.NT math.LO