Article ID Journal Published Year Pages File Type
4583396 Finite Fields and Their Applications 2007 17 Pages PDF
Abstract

We calculate the exact number of rational points on certain families of Fermat curves defined over Fq2 or Fq3. If q is even we consider also a family of Fermat curves over Fq3 which is closely related to Kloosterman sums.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the number of rational points on some families of Fermat curves over finite fields