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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.


Some singular moduli for $\textbf {Q}(\sqrt 3)$
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by Harvey Cohn and Jesse Deutsch PDF
Math. Comp. 59 (1992), 231-247 Request permission


In an earlier paper in this journal, the authors derived the equations which transform the Hilbert modular function field for ${\mathbf {Q}}(\sqrt 3 )$ when the arguments are multiplied by $(1 + \sqrt 3 ,1 - \sqrt 3 )$. These equations define a complex ${V_2}$, but we concentrate on special diagonal curves on which the values of some of the singular moduli can be evaluated numerically by using the "PSOS" algorithm. In this way the ring class fields can be evaluated for the forms ${\xi ^2} + {2^t}A{\eta ^2}$, where $A = 1,2,3,6$ and $t > 0$. These last results are based partly on conjectures supported here by numerical evidence.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 59 (1992), 231-247
  • MSC: Primary 11R37; Secondary 11F41
  • DOI:
  • MathSciNet review: 1134721