On the number of rational points on some families of Fermat curves over finite fields

Authors:
Marko Moisio
Affiliations:
Department of Mathematics and Statistics, University of Vaasa, Box 700, 65101 Vaasa, Finland
Venue:
Finite Fields and Their Applications
Year:
2007

Citing 3
Cited 3

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Abstract

We calculate the exact number of rational points on certain families of Fermat curves defined over F"q"^"2 or F"q"^"3. If q is even we consider also a family of Fermat curves over F"q"^"3 which is closely related to Kloosterman sums.