论文标题
全球功能字段中的HASSE规范原理
The Hasse Norm Principle in Global Function Fields
论文作者
论文摘要
令$ l $为$ \ mathbb {f} _q（t）$的有限扩展。我们计算$ \ mathbb {f} _q [t] $的多项式$ d $的比例，它们来自$ l/\ mathbb {f} _q（t）$的本地规范，这些规范未能是$ l/\ mathbb {f} _q（t）$的全局规范。
Let $L$ be a finite extension of $\mathbb{F}_q(t)$. We calculate the proportion of polynomials of degree $d$ in $\mathbb{F}_q[t]$ that are everywhere locally norms from $L/\mathbb{F}_q(t)$ which fail to be global norms from $L/\mathbb{F}_q(t)$.
