Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Euclid’s algorithm in the cyclotomic field $Q(\zeta _{16})$
HTML articles powered by AMS MathViewer

by T. Ojala PDF
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.
Similar Articles
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