Geodesic
Polynomial relations amongst algebraic units of low measure
John Garza1
1 Drake University 2507 University Ave Des Moines, IA 50311, U.S.A.
Acta Arithmetica, Tome 164 (2014) no. 1, pp. 25-30.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For an algebraic number field $\mathbb K$ and a subset $\{\alpha _1, \ldots , \alpha _r \} \subseteq \mathcal {O}_{\mathbb K}$, we establish a lower bound for the average of the logarithmic heights that depends on the ideal of polynomials in $\mathbb Q[x_1, \ldots , x_r]$ vanishing at the point $(\alpha _1, \ldots , \alpha _r )$.
DOI : 10.4064/aa164-1-2
Keywords: algebraic number field mathbb subset alpha ldots alpha subseteq mathcal mathbb establish lower bound average logarithmic heights depends ideal polynomials mathbb ldots vanishing point alpha ldots alpha

John Garza 1

1 Drake University 2507 University Ave Des Moines, IA 50311, U.S.A. 
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John Garza. Polynomial relations amongst algebraic units of low measure. Acta Arithmetica, Tome 164 (2014) no. 1, pp. 25-30. doi : 10.4064/aa164-1-2. http://geodesic.mathdoc.fr/articles/10.4064/aa164-1-2/

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