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

Autor:	D'Andrea, Carlos, Narváez-Clauss, Marta, Sombra, Martín
Rok vydání:	2016
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry Mathematics - Complex Variables 11G50 (Primary) 11K38 43A25 (Secondary)
Zdroj:	Alg. Number Th. 11 (2017) 1627-1655
Druh dokumentu:	Working Paper
DOI:	10.2140/ant.2017.11.1627
Popis:	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. Comment: Revised version accepted for publication in Algebra & Number Theory, 23 pages, amslatex
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.04299 Zobrazit plný text záznamu View this record from Arxiv