Zeta functions of trinomial curves and maximal curves
Algebraic Geometry
2014-08-12 v1 Number Theory
Abstract
We determine the zeta functions of trinomial curves in terms of Gauss sums and Jacobi sums, and we obtain an explicit formula of the genus of a trinomial curve over a finite field, then we study the conditions for a trinomial curve to be a maximal curve over a finite field.
Cite
@article{arxiv.1408.2178,
title = {Zeta functions of trinomial curves and maximal curves},
author = {Menglong Nie},
journal= {arXiv preprint arXiv:1408.2178},
year = {2014}
}
Comments
37 pages