Rational points and zeta functions of some curves over finite fields

DOI10.1007/s11425-010-4017-4zbMath1229.11093OpenAlexW2004320330MaRDI QIDQ625911

Long Wang, Jinquan Luo

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4017-4

zbMATH Keywords

rational pointszeta functioncurves over finite fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Exponential sums (11T23) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Cites Work

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• Algebraic function fields and codes
• The number of solutions of certain diagonal equations over finite fields
• Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces
• Divisibility of zeta functions of curves in a covering
• Euler products, cyclotomy, and coding
• The number of points on certain algebraic curves over finite fields
• A note on evaluations of some exponential sums
• Families of curves and weight distributions of codes
• Numbers of solutions of equations in finite fields

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