منابع مشابه
Two New Conjectures concerning Positive Jacobi Polynomial Sums
A reenement of a conjecture of Gasper concerning the values
متن کاملTwo new conjectures concerning positive Jacobi polynomials sums
A refinement of a conjecture of Gasper concerning the values of (α, β), −1/2 < β < 0, −1 < α + β < 0, for which the inequalities
متن کاملOn Gauss-Jacobi sums
In this paper, we introduce a kind of character sum which simultaneously generalizes the classical Gauss and Jacobi sums, and show that this “Gauss-Jacobi sum” also specializes to the Kloosterman sum in a particular case. Using the connection to the Kloosterman sums, we obtain in some special cases the upper bound (the “Weil bound”) of the absolute values of the Gauss-Jacobi sums. We also discu...
متن کاملOn the pure Jacobi sums
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 Ja...
متن کاملPrimalitv Testing and Jacobi Sums
Wc present a theoretically and algorithmically simplified version of a primalitv testing algorithm that was recently invented by Adleman and Rumely. The new algorithm performs well in practice. It is the first primality test in existence that can routinely handle numbers of hundreds of decimal digits.
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1972
ISSN: 0040-8735
DOI: 10.2748/tmj/1178241523