We prove some new bounds on exponential sums for nonlinear re-curring sequences over residue rings. In addition, we also show similar novelresults when the modulus is almost squarefree, thereby improving the resultsin El-Mahassni, Shparlinski, and Winterhof  and El-Mahassni and Winter-hof  This is done by using a technique employed by Niederreiter and Win-terhof  and through the generalisation of a Lemma found in  and .Lastly, applications to the distribution of nonlinear congruential pseudoran-dom numbers are also given.
|Number of pages||11|
|Journal||Albanian Journal of mathematics|
|Publication status||Published - 2010|