On character sums over a short interval

DOI10.1016/j.jnt.2008.06.008zbMath1246.11140OpenAlexW2080872953MaRDI QIDQ1011672

Zhefeng Xu, Zhanhu Li, Tian-Ping Zhang

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.06.008

zbMATH Keywords

character sumsKloosterman sumsquadratic Gauss sumsmean value

Mathematics Subject Classification ID

Estimates on character sums (11L40) Sums over arbitrary intervals (11L26)

Cites Work

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• On the fourth power mean of the character sums over short intervals
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• On the mean value of the two-term exponential sums with Dirichlet characters
• Mean values of character sums II
• Об одной теореме А. Шаркози
• Mean values of character sums
• A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums
• Pure and mixed exponential sums
• The mean value of Hardy sums over short intervals
• On the 2kth power mean of the character sums over short intervals
• On Character Sums and Power Residues
• On a conjecture of Norton
• On Kloosterman's sum
• Moments of generalized quadratic Gauss sums weighted by \(L\)-functions

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