Binary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula
Faruk Göloğlu, Gary McGuire, Richard Moloney (2011)
Acta Arithmetica
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Displaying similar documents to “Exact exponent in the remainder term of Gelfond's digit theorem in the binary case”
Binary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula
Some explicit constructions of sets with more sums than differences
Peter V. Hegarty (2007)
Acta Arithmetica
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Powers of 2 with five distinct summands
Vsevolod F. Lev (2008)
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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Slim exceptional sets for sums of fourth and fifth powers
Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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Hybrid mean value for a generalization of a problem of D. H. Lehmer
Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Negative values of cosine sums
Imre Z. Ruzsa (2004)
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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Fourth power mean of character sums
Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Universal Waring theorems with cubic summands
L. Dickson (1936)
Prace Matematyczno-Fizyczne
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Restricted sums of subsets of ℤ
Zhi-Wei Sun (2001)
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].
A remark on trigonometric sums
Huixue Lao (2008)
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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Universal Waring theorems with cubic summands
L. Dickson (1935)
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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