The number of rational points of a class of superelliptic curves

DOI10.1016/j.ffa.2023.102266arXiv2209.06658OpenAlexW4385323389MaRDI QIDQ6136714

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Publication date: 31 August 2023

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

Full work available at URL: https://arxiv.org/abs/2209.06658

zbMATH Keywords

quadratic formssuperelliptic curves

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Plane and space curves (14H50) Curves over finite and local fields (11G20)

Cites Work

• The fluctuations in the number of points on a hyperelliptic curve over a finite field
• The number of solutions of certain diagonal equations over finite fields
• Primitive element pairs with one prescribed trace over a finite field
• The number of rational points of a class of Artin-Schreier curves.
• Existence of primitive 2-normal elements in finite fields
• Primitive values of rational functions at primitive elements of a finite field
• Lehmer numbers and primitive roots modulo a prime
• Arithmetic on superelliptic curves
• The number of points on certain algebraic curves over finite fields
• Weierstrass Points and Curves Over Finite Fields
• Pure Gauss sums over finite fields
• Explicit evaluations of some Weil sums
• Primitive Normal Bases for Finite Fields
• The distribution of points on superelliptic curves over finite fields
• On diagonal equations over finite fields

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