Fourth power mean of character sums
Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Displaying similar documents to “The hybrid power mean of quartic Gauss sums and Kloosterman sums”
Fourth power mean of character sums
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Tingting Wang (2012)
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Zhi-Wei Sun (2001)
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Hybrid mean value for a generalization of a problem of D. H. Lehmer
Huaning Liu, Wenpeng Zhang (2007)
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Powers of 2 with five distinct summands
Vsevolod F. Lev (2008)
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A mean value related to the D. H. Lehmer problem and Kloosterman sums
Wenpeng Zhang, Zhaoxia Wu (2010)
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The mean fourth power of real character sums
Henri Virtanen (2002)
Acta Arithmetica
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On Some Sets Of Integers With Equal Sums Of Like Powers
Alfred Moessner, George Xeroudakes (1954)
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The hybrid mean value of Dedekind sums and two-term exponential sums
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.
A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
L. Carlitz (1980)
Acta Arithmetica
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Unification of zero-sum problems, subset sums and covers of .
Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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Slim exceptional sets for sums of fourth and fifth powers
Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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On Fleck quotients
Zhi-Wei Sun, Daqing Wan (2007)
Acta Arithmetica
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A sum analogous to Dedekind sums and its hybrid mean value formula
Wenpeng Zhang (2003)
Acta Arithmetica
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Equality of Dedekind sums modulo 8ℤ
Emmanuel Tsukerman (2015)
Acta Arithmetica
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Using a generalization due to Lerch [Bull. Int. Acad. François Joseph 3 (1896)] of a classical lemma of Zolotarev, employed in Zolotarev's proof of the law of quadratic reciprocity, we determine necessary and sufficient conditions for the difference of two Dedekind sums to be in 8ℤ. These yield new necessary conditions for equality of two Dedekind sums. In addition, we resolve a conjecture of Girstmair [arXiv:1501.00655].
Infinite sums as linear combinations of polygamma functions
Kh. Hessami Pilehrood, T. Hessami Pilehrood (2007)
Acta Arithmetica
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