Evaluation of Weil sums for some polynomials and associated quadratic forms. (English) Zbl 1532.11165
Let \(\mathbb{F}_q\) be a finite fields of odd characteristic. For polynomials of given type over \(\mathbb{F}_{q^n}\) the authors consider \(\mathrm{Tr}(f(x))\) as \(n\)-dimensional quadratic forms. Based on that they establish a connection between the associated Weil sums and invariants of quadratic forms. In some special cases the authors classify all such quadratic forms on vector spaces of small dimensions.
Reviewer: Nikolai L. Manev (Sofia)
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