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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.


Gauss’s ternary form reduction and the $2$-Sylow subgroup
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by Daniel Shanks PDF
Math. Comp. 25 (1971), 837-853 Request permission

Corrigendum: Math. Comp. 32 (1978), 1328-1329.
Corrigendum: Math. Comp. 32 (1978), 1328-1329.


An algorithm is developed for determining the 2-Sylow subgroup of the class group of a quadratic field provided the complete factorization of the discriminant d is known. It uses Gauss’s ternary form reduction with some new improvements and is applicable even if d is so large that the class number $h(d)$ is inaccessible. Examples are given for various d that illustrate a number of special problems.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 837-853
  • MSC: Primary 12A99
  • DOI:
  • MathSciNet review: 0297737