, Vol 4, No 1 (2010)

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Exponential Sums for Nonlinear Recurring Sequences in residue rings

Edwin El-Mahassni

Abstract


We prove some new bounds on exponential sums for nonlinear recurring sequences over residue rings and for moduli that are almost squarefree. These results improve on earlier bounds. Applications to the distribution of nonlinear congruential pseudorandom numbers are given

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