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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Euclid's algorithm in the cyclotomic field $ Q(\zeta \sb{16})$


Author: T. Ojala
Journal: Math. Comp. 31 (1977), 268-273
MSC: Primary 12A35; Secondary 10A25, 12A45
MathSciNet review: 0422202
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] H. W. Lenstra Jr., Euclid’s algorithm in cyclotomic fields, J. London Math. Soc. (2) 10 (1975), no. 4, 457–465. MR 0387257 (52 #8100)
  • [2] J. M. MASLEY, "On cyclotomic fields Euclidean for the norm map," Notices Amer. Math. Soc., v. 19, 1972, A-813. Abstract # 700-A3.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0422202-6
PII: S 0025-5718(1977)0422202-6
Article copyright: © Copyright 1977 American Mathematical Society



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