no. 3
Totally positive algebraic integers of small trace
Annales de l'Institut Fourier, Tome 34 (1984) no. 3, pp. 1-28.

Soit α un entier algébrique totalement positif, dont la différence entre la trace et le degré n’excède pas 6. On décrit un algorithme pour trouver tous les α de ce type, et on donne la table des 1314 valeurs de α issues de l’algorithme.

Let α be a totally positive algebraic integer, with the difference between its trace and its degree at most 6. We describe an algorithm for finding all such α, and display the resulting list of 1314 values of α which the algorithm produces.

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     author = {Smyth, Chistopher J.},
     title = {Totally positive algebraic integers of small trace},
     journal = {Annales de l'Institut Fourier},
     pages = {1--28},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {34},
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     year = {1984},
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Smyth, Chistopher J. Totally positive algebraic integers of small trace. Annales de l'Institut Fourier, Tome 34 (1984) no. 3, pp. 1-28. doi : 10.5802/aif.975. http://www.numdam.org/articles/10.5802/aif.975/

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[5] C.J. Smyth, The mean values of totally real algebraic integers, Math. of Comp., to appear April 1984. | MR | Zbl

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