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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 2024 MCQ for Mathematics of Computation is 1.78.

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On the measure of totally real algebraic integers. II
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by C. J. Smyth PDF
Math. Comp. 37 (1981), 205-208 Request permission

Abstract:

For a certain measure $\Omega (\alpha )$, defined for totally real algebraic integers $\alpha \ne 0$, $\pm 1$, we find the four smallest values of $\Omega (\alpha )$. The methods used involve linear programming, and the results are verified using Interval Arithmetic.
References
  • C. J. Smyth, On the measure of totally real algebraic integers, J. Austral. Math. Soc. Ser. A 30 (1980/81), no. 2, 137–149. MR 607924
    • J. M. Yohe, "Software for interval arithmetic. A reasonably portable package," ACM Trans. Math. Software, v. 5, 1979, pp. 50-63.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 205-208
  • MSC: Primary 12A15; Secondary 10F25
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0616373-7
  • MathSciNet review: 616373