On the pure Jacobi sums
نویسندگان
چکیده
where χ, ψ is a non trivial character of Fq , whose value at 0 is defined to be 0. It is well known that the absolute value of J(χ, ψ) is √ q = p, when χψ is not principal. According to [11], [9], call the Jacobi sum J(χ, ψ) pure if J(χ, ψ)/p is a root of unity. Let ord(χ) be the order of χ in F̂×q . From now on in this paper, we assume that ord(ψ) = 2 and ord(χ) = n ≥ 3. This special type of Jacobi sums play an important role in evaluating the argument of Gauss sum:
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