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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On the measure of totally real algebraic integers. II


Author: C. J. Smyth
Journal: Math. Comp. 37 (1981), 205-208
MSC: Primary 12A15; Secondary 10F25
MathSciNet review: 616373
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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 [Enhancements On Off] (What's this?)

  • [1] 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 (82j:12002a)
  • [2] 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

DOI: http://dx.doi.org/10.1090/S0025-5718-1981-0616373-7
PII: S 0025-5718(1981)0616373-7
Article copyright: © Copyright 1981 American Mathematical Society