Displaying similar documents to “Fast computation of Gauss sums and resolution of the root of unity ambiguity”

The hybrid power mean of quartic Gauss sums and Kloosterman sums

Li Xiaoxue, Hu Jiayuan (2017)

Open Mathematics

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The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.

On the fourth-order linear recurrence formula related to classical Gauss sums

Chen Zhuoyu, Zhang Wenpeng (2017)

Open Mathematics

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Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ), and give an interesting fourth-order linear recurrence formula for it, where τ(ψ) denotes the classical Gauss sums.