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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.
Faruk Göloğlu, Gary McGuire, Richard Moloney (2011)
Acta Arithmetica
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Katalin Gyarmati, Attila Pethő, András Sárközy (2005)
Acta Arithmetica
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William C. Waterhouse, K.J. Heuvers (1988)
Aequationes mathematicae
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Zhi-Wei Sun, Daqing Wan (2007)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Borwein, Jonathan M., Girgensohn, Roland (1996)
The Electronic Journal of Combinatorics [electronic only]
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Tingting Wang (2012)
Acta Arithmetica
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Vsevolod F. Lev (2008)
Acta Arithmetica
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Dinesh S. Thakur (1988)
Inventiones mathematicae
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Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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John Greene, Dennis Stanton (1986)
Aequationes mathematicae
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Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Marko Moisio (2008)
Acta Arithmetica
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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.
Kazuhito Kozuka (2011)
Acta Arithmetica
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