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11t24 (secondary)

Bulletin of the London Mathematical Society (1)

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ON THE DISTRIBUTION OF POWER RESIDUES AND PRIMITIVE ELEMENTS IN SOME NONLINEAR RECURRING SEQUENCES
HARALD NIEDERREITER, IGOR E. SHPARLINSKI
Journal:

Bulletin of the London Mathematical Society / Volume 35 / Issue 4 / July 2003

Published online by Cambridge University Press:

09 June 2003, pp. 522-528

Print publication:

July 2003
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It is shown that the method of estimation of exponential sums with nonlinear recurring sequences, invented by the authors in a recent series of works, can be applied to estimating sums of multiplicative characters as well. As a consequence, results are obtained about the distribution of power residues and primitive elements in such sequences.