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On some conjectures on generalized quadratic Gauss sums and related problems

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Publication:2677310
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DOI10.1016/j.ffa.2022.102131OpenAlexW3165414668WikidataQ123199016 ScholiaQ123199016MaRDI QIDQ2677310

Nilanjan Bag, Antonio Rojas-León, Wen Peng Zhang

Publication date: 13 January 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11214

zbMATH Keywords

asymptotic formulaLegendre symbolgeneralized quadratic Gauss sums


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05)




Cites Work

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  • On an identity associated with Weil's estimate and its applications
  • La conjecture de Weil. II
  • Higher order moments of generalized quadratic Gauss sums weighted by \(L\)-functions
  • An explicit evaluation of \(10^{\text{th}} \)-power moment of quadratic Gauss sums and some applications
  • Convolution and Equidistribution
  • Pure and mixed exponential sums
  • Rigid Local Systems. (AM-139)
  • Moments of generalized quadratic Gauss sums weighted by \(L\)-functions
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