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Zeta functions of trinomial curves and maximal curves

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Publication:268473
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DOI10.1016/j.ffa.2016.01.005zbMath1346.14061arXiv1408.2178OpenAlexW300159009MaRDI QIDQ268473

Menglong Nie

Publication date: 15 April 2016

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

Full work available at URL: https://arxiv.org/abs/1408.2178


zbMATH Keywords

zeta functiongenusmaximal curvetrinomial curves


Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)


Related Items

On a local-global principle for quadratic twists of abelian varieties ⋮ The supersingularity of Hurwitz curves



Cites Work

  • On the curve \(y^n = x^m + x\) over finite fields
  • Plane maximal curves
  • On maximal curves of Fermat type
  • Algebraic Function Fields and Codes
  • Certain maximal curves and Cartier operators
  • Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
  • Hypergeometric functions over an arbitrary field
  • Numbers of solutions of equations in finite fields
  • Systems Of Linear Congruences
  • The Newton polygon of plane curves with many rational points
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