论文标题
椭圆曲线上高斯Zeta值之间的代数关系
Algebraic Relations among Goss's Zeta Values on Elliptic Curves
论文作者
论文摘要
在2007年，Chang和YU确定了理性函数字段Goss Zeta值之间的所有代数关系 - 这些也称为Carlitz Zeta值。戈斯（Goss）提出了关于一般基圈A戈斯（Goss）Zeta值中代数关系的问题，但鲜为人知。在本文中，我们开发了一种通用方法，并确定戈斯（Goss）在有限场上附着在椭圆曲线上的基本环的Zeta值之间的所有代数关系。据我们所知，这些是基本环的第一个非平凡的解决方案，其基本环严格大于1。
In 2007 Chang and Yu determined all the algebraic relations among Goss's zeta values for the rational function field - these are also known as the Carlitz zeta values. Goss raised the problem about algebraic relations among Goss's zeta values for a general base ring A, but very little is known. In this paper we develop a general method and determine all algebraic relations among Goss's zeta values for the base ring A attached to an elliptic curve over a finite field. To our knowledge, these are the first non-trivial solutions of Goss's problem for a base ring whose class number is strictly greater than 1.
