ON THE NUMBER OF RATIONAL POINTS OF GENERALIZED FERMAT CURVES OVER FINITE FIELDS

DOI10.1142/S1793042112500650zbMath1247.11087MaRDI QIDQ2890258

Stefania Fanali, Massimo Giulietti

Publication date: 8 June 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Fermat curvesStöhr-Voloch theoryautomorphisms of algebraic curvesalgebraic curves over a finite field

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items (4)

Automorphisms of generalized Fermat curves ⋮ Small complete caps from singular cubics. II ⋮ Multiple coverings of the farthest-off points with small density from projective geometry ⋮ On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola

Cites Work

• Wronskians and linear independence in fields of prime characteristic
• Fermat curves over finite fields
• The number of solutions of certain diagonal equations over finite fields
• Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces
• Algebraic Function Fields and Codes
• On the Number of Solutions of Some General Types of Equations in a Finite Field

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