RATIONAL POINTS ON SOME FERMAT CURVES AND SURFACES OVER FINITE FIELDS

DOI10.1142/S1793042113500954zbMath1286.11099arXiv1310.1772MaRDI QIDQ5408808

José Felipe Voloch, Michael E. Zieve

Publication date: 11 April 2014

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

Full work available at URL: https://arxiv.org/abs/1310.1772

zbMATH Keywords

finite fieldrational pointFermat curve

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (4)

Automorphisms of generalized Fermat curves ⋮ Holomorphic differentials of generalized Fermat curves ⋮ Rational points on Fermat curves over finite fields ⋮ Some planar monomials in characteristic 2

Cites Work

• On certain diagonal equations over finite fields
• Fermat curves over finite fields
• On the number of rational points on some families of Fermat curves over finite fields
• A note on multiple exponential sums

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