Remote Access Mathematics of Computation
Green Open Access

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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
  • [2] J. M. Yohe, "Software for interval arithmetic. A reasonably portable package," ACM Trans. Math. Software, v. 5, 1979, pp. 50-63.

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 12A15, 10F25

Retrieve articles in all journals with MSC: 12A15, 10F25

Additional Information

Article copyright: © Copyright 1981 American Mathematical Society