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arXiv · 1408.2178

Zeta functions of trinomial curves and maximal curves

Menglong Nie
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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.

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Menglong Nie. 2014-08-10. Zeta functions of trinomial curves and maximal curves. https://arxiv.org/abs/1408.2178

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