On the minimum of the unit lattice
Journal de Théorie des Nombres de Bordeaux, Volume 3 (1991) no. 2, pp. 377-380. 
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     title = {On the minimum of the unit lattice},
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     pages = {377--380},
     publisher = {Universit\'e Bordeaux I},
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Volker Kessler. On the minimum of the unit lattice. Journal de Théorie des Nombres de Bordeaux, Volume 3 (1991) no. 2, pp. 377-380. doi : 10.5802/jtnb.57. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.57/

[1] Buchmann, Zur Komplexität der Berechnung von Einheiten und Klassenzahlen algebraicher Zahlkörper, Habilitationsschrift Düsseldorf (1987).

[2] Buchmann, Kessler, Computing a reduced lattice basis from a generating system, to appear.

[3] Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta arithmetica 34 (1979), 391-401. | MR: 543210 | Zbl: 0416.12001

[4] SchinzelZassenhaus, A refinement of two theorems of Kronecker, Mich. Math. J. 12 (1965), 81-84. | MR: 175882 | Zbl: 0128.03402

[5] , Smyth On the product of the conjugates outside the unit circle of an algebraic integer, Bull. London Math. Soc. 3 (1971), 169-175. | MR: 289451 | Zbl: 0235.12003

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