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 , defined for totally real algebraic integers , , we find the four smallest values of . The methods used involve linear programming, and the results are verified using Interval Arithmetic.

**[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.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1981-0616373-7

Article copyright:
© Copyright 1981
American Mathematical Society