A mean value related to the D. H. Lehmer problem and Kloosterman sums
Wenpeng Zhang, Zhaoxia Wu (2010)
Acta Arithmetica
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Wenpeng Zhang, Zhaoxia Wu (2010)
Acta Arithmetica
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Wenpeng Zhang (2003)
Acta Arithmetica
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Chang Leran, Li Xiaoxue (2016)
Open Mathematics
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In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
Zhi-Wei Sun (2001)
Acta Arithmetica
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Vsevolod F. Lev (2008)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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L. Carlitz (1980)
Acta Arithmetica
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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.
T. H. Chan, A. V. Kumchev (2012)
Acta Arithmetica
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Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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Imre Z. Ruzsa (2004)
Acta Arithmetica
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