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On the high-th power mean of one kind general Kloosterman sums

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Publication:1736975
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DOI10.1007/s13398-017-0459-7zbMath1439.11193OpenAlexW2766425539MaRDI QIDQ1736975

Jia Yuan Hu, Wen Peng Zhang

Publication date: 26 March 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0459-7


zbMATH Keywords

asymptotic formulaKloosterman sumsidentityhigh-th power mean


Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Trigonometric and exponential sums (general theory) (11L03)




Cites Work

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  • The fourth and sixth power mean of the classical Kloosterman sums
  • On the general Kloosterman sum and its fourth power mean.
  • Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
  • The modularity of the Barth--Nieto quintic and its relatives
  • How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies
  • On Kloosterman's sum
  • On the number of zeros of diagonal cubic forms
  • On the fourth power mean of the general Kloosterman sums
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