Reciprocity formulae for general multiple Dedekind-Rademacher sums and enumeration of lattice points
Abdelmejid Bayad, Abdelaziz Raouj (2010)
Acta Arithmetica
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Abdelmejid Bayad, Abdelaziz Raouj (2010)
Acta Arithmetica
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Matthias Beck (2003)
Acta Arithmetica
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Vsevolod F. Lev (2008)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Wenpeng Zhang, Zhaoxia Wu (2010)
Acta Arithmetica
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Wenpeng Zhang (2003)
Acta Arithmetica
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L. Carlitz (1980)
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.
Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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Huaning Liu, Wenpeng Zhang (2007)
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.