On the mean value of the two-term exponential sums with Dirichlet characters

DOI10.1016/j.jnt.2006.07.005zbMath1197.11103OpenAlexW2019380044MaRDI QIDQ2370187

Zhefeng Xu, Wen Peng Zhang, Tian-Ping Zhang

Publication date: 22 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.07.005

zbMATH Keywords

mean valueDirichlet charactertwo-term exponential sums

Mathematics Subject Classification ID

Estimates on character sums (11L40)

Related Items (10)

A note on the mean value of the general Kloosterman sums ⋮ Estimations on some hybrid exponential sums related to Kloosterman sums ⋮ A note on mean value of mixed exponential sums ⋮ Explicit formulas for the fourth moment of mixed exponential sums ⋮ Identities of general Kloosterman sums ⋮ On the fourth power mean of the analogous general Kloosterman sum ⋮ On the character sum of polynomials and the two-term exponential sums ⋮ On character sums over a short interval ⋮ On an identity associated with Weil's estimate and its applications ⋮ On the mean value of the mixed exponential sums with Dirichlet characters and general gauss sum

Cites Work

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• On the general Kloosterman sum and its fourth power mean.
• Upper bounds on a two-term exponential sum
• The Estimation of Complete Exponential Sums
• Estimates for Exponential Sums
• On Hua's Estimate for Exponential Sums
• A stationary phase formula for exponential sums over $ℤ/p^{m}ℤ$ and applications to GL(3)-Kloosterman sums
• Estimation of exponential sums of polynomials of higher degrees II
• On Some Exponential Sums

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