Euclid’s algorithm in the cyclotomic field $Q(\zeta _{16})$
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- Math. Comp. 31 (1977), 268-273 Request permission
Abstract:
Let ${\zeta _{16}}$ denote a primitive 16th root of unity. It is proved that ${\mathbf {Z}}[{\zeta _{16}}]$ is Euclidean for the norm map.References
- H. W. Lenstra Jr., Euclid’s algorithm in cyclotomic fields, J. London Math. Soc. (2) 10 (1975), no. 4, 457–465. MR 387257, DOI 10.1112/jlms/s2-10.4.457 J. M. MASLEY, "On cyclotomic fields Euclidean for the norm map," Notices Amer. Math. Soc., v. 19, 1972, A-813. Abstract # 700-A3.
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 268-273
- MSC: Primary 12A35; Secondary 10A25, 12A45
- DOI: https://doi.org/10.1090/S0025-5718-1977-0422202-6
- MathSciNet review: 0422202