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Incomplete character sums and a special class of permutations

S. D. Cohen; H. Niederreiter; I. E. Shparlinski; M. Zieve — 2001

Journal de théorie des nombres de Bordeaux

We present a method of bounding incomplete character sums for finite abelian groups with arguments produced by a first-order recursion. This method is particularly effective if the recursion involves a special type of permutation called an $ℛ$ -orthomorphism. Examples of $ℛ$ -orthomorphisms are given.

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