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On maximal and minimal hypersurfaces of Fermat type

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Publication:5889735
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DOI10.1090/proc/16129OpenAlexW3206610026MaRDI QIDQ5889735

José Alves Oliveira

Publication date: 27 April 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07452


zbMATH Keywords

finite fieldsGauss sumsdiagonal equationsJacobi sums


Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Other character sums and Gauss sums (11T24)




Cites Work

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  • On the number of solutions of certain diagonal equations over finite fields
  • On Fermat varieties
  • A characterization of maximal and minimal Fermat curves
  • The number of solutions of certain diagonal equations over finite fields
  • Handbook of Finite Fields
  • On maximal curves of Fermat type
  • Factorization formulae on counting zeros of diagonal equations over finite fields
  • Certain maximal curves and Cartier operators
  • Pure Gauss sums over finite fields
  • On the Solvability of the Equation ∑ n i = 1 x i /d i ≡0 (mod 1) and its Application
  • Numbers of solutions of equations in finite fields
  • On diagonal equations over finite fields




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