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Sums of certain fractional parts

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Publication:2151151
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DOI10.1007/s10998-021-00399-6OpenAlexW3196784082MaRDI QIDQ2151151

Olivier Bordellès

Publication date: 30 June 2022

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00170


zbMATH Keywords

fractional partWeyl's and van der Corput's exponential sums


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Small fractional parts of polynomials and generalizations (11J54) Weyl sums (11L15)




Cites Work

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  • The cubic case of the main conjecture in Vinogradov's mean value theorem
  • On van der Corput's \(k\)-th derivative test for exponential sums
  • Arithmetic tales. Transl. from the French by Véronique Bordellès
  • On the distribution of fractional parts of polynomials
  • Integer points in the neighborhood of a plane curve of class \(C^n\). II
  • A new \(k\)th derivative estimate for exponential sums via Vinogradov's mean value
  • On the error term of a lattice counting problem
  • On the error term of a lattice counting problem, II
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