On subset sums of a fixed set
Yong-Gao Chen (2003)
Acta Arithmetica
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Displaying similar documents to “Kloosterman sums in residue classes”
On subset sums of a fixed set
On the arithmetic mean of Dedekind sums
Kurt Girstmair, Johannes Schoißengeier (2005)
Acta Arithmetica
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On Bourgain's bound for short exponential sums and squarefree numbers
Ramon M. Nunes (2016)
Acta Arithmetica
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We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.
Hybrid mean value for a generalization of a problem of D. H. Lehmer
Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Arithmetic progressions in sums of subsets of sparse sets
Tomasz Schoen (2011)
Acta Arithmetica
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On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
Tingting Wang (2012)
Acta Arithmetica
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A mean value related to the D. H. Lehmer problem and Kloosterman sums
Wenpeng Zhang, Zhaoxia Wu (2010)
Acta Arithmetica
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The binary Goldbach problem with arithmetic weights attached to one of the variables
D. I. Tolev (2010)
Acta Arithmetica
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Subset sums avoiding quadratic nonresidues
Péter Csikvári (2008)
Acta Arithmetica
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Sums of multiplicative function in special arithmetic progressions
Bin Feng (2019)
Czechoslovak Mathematical Journal
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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).
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.
Fourth power mean of character sums
Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Powers of 2 with five distinct summands
Vsevolod F. Lev (2008)
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].
Restricted sums of subsets of ℤ
Zhi-Wei Sun (2001)
Acta Arithmetica
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Blocks and progressions in subset sum sets
Vsevolod F. Lev (2003)
Acta Arithmetica
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On Some Sets Of Integers With Equal Sums Of Like Powers
Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Sums of three cubes in three linked three-progressions.
Antal Balog, Brüdern Jörg (1995)
Journal für die reine und angewandte Mathematik
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