Distribution of algebraic numbers and metric theory of Diophantine approximation

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Abstract

In this paper we give an overview of recent results regarding close conjugate algebraic numbers, the number of integral polynomials with small discriminant and pairs of polynomials with small resultants.

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Bernik, V., Beresnevich, V., Götze, F., & Kukso, O. (2013). Distribution of algebraic numbers and metric theory of Diophantine approximation. In Springer Proceedings in Mathematics and Statistics (Vol. 42, pp. 23–48). Springer New York LLC. https://doi.org/10.1007/978-3-642-36068-8_2

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