On the ergodicity of the Weyl sums cocycle
Bassam Fayad (2006)
Acta Arithmetica
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Displaying similar documents to “Geometric aspect of Weyl sums”
On the ergodicity of the Weyl sums cocycle
Un Théoreme de Moyenne Pour les Sommes D'exponentielles. Application a L'inégalité de Weyl
O. Robert, P. Sargos (2000)
Publications de l'Institut Mathématique
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On Weyl's sums
Ю.В. Линник (1943)
Matematiceskij sbornik
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On the Bombieri-Korobov estimate for Weyl sums
Scott T. Parsell (2009)
Acta Arithmetica
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Sums of three cubes, II
Trevor D. Wooley (2015)
Acta Arithmetica
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Estimates are provided for sth moments of cubic smooth Weyl sums, when 4 ≤ s ≤ 8, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.
Restricted sums of subsets of ℤ
Zhi-Wei Sun (2001)
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 reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
L. Carlitz (1980)
Acta Arithmetica
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Powers of 2 with five distinct summands
Vsevolod F. Lev (2008)
Acta Arithmetica
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On Weyl's sums.
И.М. Виноградов ([unknown])
Matematiceskij sbornik
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Generalizations of Dedekind sums and their reciprocity laws
Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
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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Fourth power mean of character sums
Zhefeng Xu, Wenpeng Zhang (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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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].