Zeta functions of trinomial curves and maximal curves

Zeta functions of trinomial curves and maximal curves

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.

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Veröffentlicht in:arXiv.org 2014-08
1. Verfasser: Nie, Menglong
Format: Artikel
Sprache:eng
Schlagworte:
Fields (mathematics)
Sums
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Zusammenfassung: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.
ISSN:2331-8422