Improvements of the Weil bound for Artin-Schreier curves

DOI10.1007/s00208-010-0606-3zbMath1281.11064arXiv1004.2224OpenAlexW2056997197MaRDI QIDQ641843

Daqing Wan, Antonio Rojas-León

Publication date: 25 October 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2224

zbMATH Keywords

Weil boundArtin-Schreier curvenumber of rational pointsimproved bound

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Gauss and Kloosterman sums; generalizations (11L05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (5)

Index bounds for character sums of polynomials over finite fields ⋮ On the number of rational points on Artin-Schreier hypersurfaces ⋮ Rationality of trace and norm \(L\)-functions ⋮ Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank ⋮ An improvement to the Hasse-Weil bound and applications to character sums, cryptography and coding

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