#### Vol. 11, No. 7, 2017

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Quantitative equidistribution of Galois orbits of small points in the $N$-dimensional torus

### Carlos D’Andrea, Marta Narváez-Clauss and Martín Sombra

Vol. 11 (2017), No. 7, 1627–1655
##### Abstract

We present a quantitative version of Bilu’s theorem on the limit distribution of Galois orbits of sequences of points of small height in the $N$-dimensional algebraic torus. Our result gives, for a given point, an explicit bound for the discrepancy between its Galois orbit and the uniform distribution on the compact subtorus, in terms of the height and the generalized degree of the point.

##### Keywords
height of points, algebraic torus, equidistribution of Galois orbits
##### Mathematical Subject Classification 2010
Primary: 11G50
Secondary: 11K38, 43A25