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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.


Recognizing units in number fields
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by Guoqiang Ge PDF
Math. Comp. 63 (1994), 377-387 Request permission


We present a deterministic polynomial-time algorithm that decides whether a power product $\prod \nolimits _{i = 1}^k {\gamma _i^{{n_i}}}$ is a unit in the ring of integers of K, where K is a number field, ${\gamma _i}$ are nonzero elements of K and ${n_i}$ are rational integers. The main algorithm is based on the factor refinement method for ideals, which might be of independent interest.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Math. Comp. 63 (1994), 377-387
  • MSC: Primary 11Y40; Secondary 11R27
  • DOI:
  • MathSciNet review: 1242057