Explicit Evaluations of Some Weil Sums

@inproceedings{CoulterExplicitEO,
  title={Explicit Evaluations of Some Weil Sums},
  author={Robert S. Coulter}
}
where f ∈ Fq[X ]. These sums are also known as Weil sums. The problem of explicitly evaluating these sums is quite often difficult. Results giving estimates for the absolute value of the sum are more common and such results have been regularly appearing for many years. The book [5] by Lidl and Niederreiter gives an overview of this area of research in the concluding remarks of Chapter 5. As with previous explicit evaluations the special form of our polynomial will play an integral part. In [1… CONTINUE READING

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Evaluation of some exponential sums over a finite field

  • L. Carlitz
  • Math. Nachr
  • 1980
Highly Influential
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