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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.


Euclidean minima of totally real number fields: Algorithmic determination
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by Jean-Paul Cerri PDF
Math. Comp. 76 (2007), 1547-1575 Request permission


This article deals with the determination of the Euclidean minimum $M(K)$ of a totally real number field $K$ of degree $n\geq 2$, using techniques from the geometry of numbers. Our improvements of existing algorithms allow us to compute Euclidean minima for fields of degree $2$ to $8$ and small discriminants, most of which were previously unknown. Tables are given at the end of this paper.
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Additional Information
  • Jean-Paul Cerri
  • Affiliation: 2, route de Saint-Dié, F-88600 Aydoilles, France
  • Email:
  • Received by editor(s): May 9, 2004
  • Received by editor(s) in revised form: February 21, 2006
  • Published electronically: February 27, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 76 (2007), 1547-1575
  • MSC (2000): Primary 11Y40; Secondary 11R04, 12J15, 13F07
  • DOI:
  • MathSciNet review: 2299788