Chevalley's Theorem

Let be a member of a Finite Field and suppose and isgreater than the degree of , then has at least two zeros in .

References

Chevalley, C. ``Démonstration d'une hypothèse de M. Artin.'' Abhand. Math. Sem. Hamburg 11, 73-75, 1936.

Ireland, K. and Rosen, M. ``Chevalley's Theorem.'' §10.2 in A Classical Introduction to Modern Number Theory, 2nd ed. New York: Springer-Verlag, pp. 143-144, 1990.

• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves
• Fundamental Theorem of Projective Geometry
• Fundamental Theorem of Space Curves
• Fundamental Theorem of Symmetric Functions
• Fundamental Theorems of Calculus
• Fundamental Unit
• Funnel
• Fuss's Problem
• Futile Game
• Fuzzy Logic
• FWHM
• Gabriel's Horn
• Gabriel's Staircase
• Gadget
• Gale-Ryser Theorem
• Galilean Transformation
• Gallows
• Gall's Stereographic Projection
• Gallucci's Theorem