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The aim of these notes, which form an extended version of lectures given by the author at various places, is to present a survey of what is known about uniform distribution of sequences of integers in residue classes. Such sequences were studied since the beginning of this century, when L.E. Dickson in his Ph.D. thesis made a thorough study of permutational polynomials, i.e. polynomials inducing a permutation of residue classes with respect to a fixed prime
General results
Polynomial sequences
Linear recurrent sequences
Additive functions
Multiplicative functions
Polynomial-like functions