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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.


Applying sieving to the computation of quadratic class groups
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by Michael J. Jacobson Jr. PDF
Math. Comp. 68 (1999), 859-867 Request permission


We present a new algorithm for computing the ideal class group of an imaginary quadratic order which is based on the multiple polynomial version of the quadratic sieve factoring algorithm. Although no formal analysis is given, we conjecture that our algorithm has sub-exponential complexity, and computational experience shows that it is significantly faster in practice than existing algorithms.
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Additional Information
  • Michael J. Jacobson Jr.
  • Affiliation: Technische Universität Darmstadt, FB Informatik, Institut für theoretische Informatik, Alexanderstr. 10, 64283 Darmstadt, Germany
  • Email:
  • Received by editor(s): May 5, 1997
  • Received by editor(s) in revised form: August 4, 1997
  • Additional Notes: The author is supported by the Natural Sciences and Engineering Research Council of Canada
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 859-867
  • MSC (1991): Primary 11Y40; Secondary 11Y16
  • DOI:
  • MathSciNet review: 1604324