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The Hasse Norm Principle in Global Function Fields

The Hasse Norm Principle in Global Function Fields

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 \(L/\mathbb {F}_q(t)\).