A quadratic field which is Euclidean but not norm-Euclidean
The author uses earlier methods of \textit{E. S. Barnes} and \textit{H. P. F. Swinnerton-Dyer} [Acta Math. 87, 259-323 (1952; Zbl 0046.276)] to prove with the help of a computer that the ring \(\mathbb{Z}[ {{1+ \sqrt {69}} \over 2}]\) is Euclidean. This is the first example of a quadratic number field shown to be Euclidean but not norm-Euclidean.
scientific article; zbMATH DE number 624939
scientific article