The hybrid power mean of the generalized Gauss sums

DOI10.1186/s13662-017-1277-0zbMath1422.11169OpenAlexW2743407279WikidataQ59524546 ScholiaQ59524546MaRDI QIDQ1629883

Li Chen, Wen Peng Zhang

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1277-0

zbMATH Keywords

analytic methodcomputational formulageneralized Gauss sumshybrid power mean

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Counting solutions of Diophantine equations (11D45) Gauss and Kloosterman sums; generalizations (11L05) Cubic and quartic Diophantine equations (11D25) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• Using Stepanov's method for exponential sums involving rational functions
• On the quartic Gauss sums and their recurrence property
• On the general Gauss sums and their fourth power mean
• A further refinement of Mordell's bound on exponential sums
• On Some Exponential Sums

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