D. Koleda

collaborators

2 papers

math.NT2017

Joint distribution of conjugate algebraic numbers: a random polynomial approach

Friedrich Götze, Denis Koleda, Dmitry Zaporozhets

We count the algebraic numbers of fixed degree by their $w$ -weighted $l_{p}$ -norm which generalizes the naïve height, the length, the Euclidean and the Bombieri norms. For n…

math.PR2016

Correlations between real and complex zeros of a random polynomial

Friedrich Götze, Denis Koleda, Dmitry Zaporozhets

Consider a random polynomial $G (z) := ξ_{0} + ξ_{1} z + \dots + ξ_{n} z^{n}, z \in C,$ where $ξ_{0}, ξ_{1}, \dots, ξ_{n}$ are independent real-valued random variables with probability densi…