函数域中单位子群内线性方程的解
Solutions of a Linear Equation in a Subgroup of Units in a Function Field
摘要：
在一大类函数域上，我们证明了某些线性方程在函数域单位群的某个子群的拓扑闭包中的解恰是该子群中已有的解.这一结果解决了Skolem提出的一个旧猜想的函数场模拟的某些情况。
英文摘要：
Over a large class of function fields, we show that the solutions of some linear equations in the topological closure of a certain subgroup of the group of units in the function field are exactly the solutions that are already in the subgroup. This result solves some cases of the function field analog of an old conjecture proposed by Skolem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
