Rational points on Fermat curves over finite fields

DOI10.1142/S0219498817500463zbMath1396.11135OpenAlexW2302716514MaRDI QIDQ2978560

Shanmeng Han, Wei Cao, Ru-Yun Wang

Publication date: 25 April 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817500463

zbMATH Keywords

Gauss sumfinite fieldrational pointFermat curve

Mathematics Subject Classification ID

Rational points (14G05) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06) Other character sums and Gauss sums (11T24)

Cites Work

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• Planar functions over fields of characteristic two
• Modular counting of rational points over finite fields
• Some planar monomials in characteristic 2
• DEGREE MATRICES AND ESTIMATES FOR EXPONENTIAL SUMS OF POLYNOMIALS OVER FINITE FIELDS
• RATIONAL POINTS ON SOME FERMAT CURVES AND SURFACES OVER FINITE FIELDS
• On a class of equations with special degrees over finite fields

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