Distribution of Nonlinear Congruential Pseudorandom Numbers Modulo Almost Squarefree Integers Edwin D. El-Mahassni Electronic Warfare & Radar Division Defence Science & Technology Organisation P.O. Box 1500, Edinburgh, SA 5111, Australia Edwin.El-Mahassni@dsto.defence.gov.au Igor E. Shparlinski Department of Computing, Macquarie University North Ryde, NSW 2109, Australia igor@ics.mq.edu.au Arne Winterhof Johann Radon Institute for Computational and Applied Mathematics Altenberger Straße 69, A-4040 Linz, Austria. arne.winterhof@oeaw.ac.at 1