Zeta functions of trinomial curves and maximal curves

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• 作者：Menglong Nie ^{niemelo@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 14G10 ; secondary ; 11G20 ; 14H45
• 刊名：Finite Fields and Their Applications
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：39
• 期：Complete
• 页码：52-82
• 全文大小：494 K

文摘

We determine the zeta functions of trinomial curves in terms of Jacobi sums, and obtain an explicit formula of the genus of a trinomial curve over a finite field, and we study the conditions for this curve to be a maximal curve over a finite field.