Remarks on the Number of Rational Points on a Class of Hypersurfaces over Finite Fields

• DOI: 10.1142/s1005386718000366
• Publication Date: 2018-08-14T08:49:02Z
• Authors: Hua Huang; Wei Gao; Wei Cao
• Keywords: Hypersurface; Degree (music); Finite set

Let 𝔽 q be the finite field of elements and f a nonzero polynomial over . For each b ϵ , let N (f = b) denote number -rational points on affine hypersurface b. We obtain formula for class hypersurfaces by using greatest invariant factors degree matrices under certain cases, which generalizes previously known results. also give another simple direct proof to