Norm-Euclidean Galois fields and the Generalized Riemann Hypothesis

Kevin J. McGown

Assuming the Generalized Riemann Hypothesis (GRH), we show that the norm-Euclidean Galois cubic fields are exactly those with discriminant $Δ=7^2,9^2,13^2,19^2,31^2,37^2,43^2,61^2,…