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arXiv · 1606.04299

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

Carlos D'Andrea·Marta Narváez-Clauss·Martín Sombra
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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.

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Carlos D'Andrea, Marta Narváez-Clauss, Martín Sombra. 2017-05-24. Quantitative equidistribution of Galois orbits of small points in the N-dimensional torus. https://doi.org/10.2140/ant.2017.11.1627

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