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On an identity associated with Weil's estimate and its applications

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Publication:1017391
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DOI10.1016/j.jnt.2008.10.022zbMath1193.11075OpenAlexW2078029817MaRDI QIDQ1017391

Qunying Liao, Yuan He

Publication date: 19 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.10.022


zbMATH Keywords

mean valuesLegendre symbolsgeneralized quadratic Gauss sums


Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05)


Related Items (2)

An explicit evaluation of \(10^{\text{th}} \)-power moment of quadratic Gauss sums and some applications ⋮ On some conjectures on generalized quadratic Gauss sums and related problems



Cites Work

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  • Unnamed Item
  • The first power mean of the inversion of \(L\)-functions weighted by quadratic Gauss sums
  • On the mean value of the two-term exponential sums with Dirichlet characters
  • On the mean value of \(\frac{L^{\prime}}{L}(1,\chi)\)
  • A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums
  • Pure and mixed exponential sums
  • Moments of generalized quadratic Gauss sums weighted by \(L\)-functions


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