A note on the fourth power mean of the generalized Kloosterman sums

DOI10.1016/J.JNT.2016.11.020zbMath1355.11082OpenAlexW2568671282MaRDI QIDQ503730

Shimeng Shen, Wen Peng Zhang

Publication date: 23 January 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.11.020

zbMATH Keywords

Gauss sumidentityfourth power meangeneralized Kloosterman sum

Mathematics Subject Classification ID

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

Related Items (8)

On the character sums analogous to high dimensional Kloosterman sums ⋮ A certain new Gauss sum and its fourth power mean ⋮ A sum analogous to Kloosterman sum and its fourth power mean ⋮ Identities of general Kloosterman sums ⋮ Fourth power mean values of one kind special Kloosterman's sum ⋮ A new fourth power mean of two-term exponential sums ⋮ On the character sum of polynomials and the two-term exponential sums ⋮ Kloosterman sums over finite Frobenius rings

Cites Work

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• The fourth and sixth power mean of the classical Kloosterman sums
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• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
• The modularity of the Barth--Nieto quintic and its relatives
• On the fourth power mean of the general Kloosterman sums
• On the fourth power mean of the general Kloosterman sums

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