10 citations · 29 across the 8 of their papers we have counts for
9 papers
On the distribution of polynomial discriminants: totally real case
Dzianis Kaliada
In the paper we study the distribution of the discriminant of polynomials from the class of all integer polynomials of degree and height at most…
Distribution of real algebraic integers
Dzianis Kaliada
In the paper, we study the asymptotic distribution of real algebraic integers of fixed degree as their na\"ıve height tends to infinity. For an arbitrary interval $I \subset \mathb…
Correlations between real conjugate algebraic numbers
Friedrich Götze, Dzianis Kaliada, Dmitry Zaporozhets
For denote by the number of ordered -tuples in of real conjugate algebraic numbers of degree and naive height . We show th…
Correlation functions of real zeros of random polynomials
Friedrich Götze, Dzianis Kaliada, Dmitry Zaporozhets
We give an explicit formula for the correlation functions of real zeros of a random polynomial with arbitrary independent continuously distributed coefficients.
Distribution of complex algebraic numbers
Friedrich Götze, Dzianis Kaliada, Dmitry Zaporozhets
For a region denote by the number of complex algebraic numbers in of degree and naive height . We show that $$ Ψ(Q;Ω)=\frac{Q^{n+…
Distribution of real algebraic integers
Dzianis Kaliada
In the paper, we study the asymptotic distribution of real algebraic integers of fixed degree as their naive height tends to infinity. Let be an arbitrary bo…