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Mathematics of Computation

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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.

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Article copyright: © Copyright 1981 American Mathematical Society