The Hasse Norm Principle in Global Function Fields
published by Nicole Sutherland PhD
in 2020
and research's language is
English
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Abstract in English
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 $L/mathbb{F}_q(t)$.