17 citations · 26 across the 4 of their papers we have counts for
4 papers
Systems of small linear forms and Diophantine approximation on manifolds
Victor Beresnevich, Vasili Bernik, Natalia Budarina
We develop the theory of Diophantine approximation for systems of simultaneously small linear forms, which coefficients are drawn from any given analytic non-degenerate manifolds.…
Integral polynomials with small discriminants and resultants
Victor Beresnevich, Vasili Bernik, Friedrich Götze
Let be fixed, be a real parameter and denote the set of polynomials over of degree and height at most . In this paper…
The distribution of close conjugate algebraic numbers
Victor Beresnevich, Vasili Bernik, Friedrich Götze
We investigate the distribution of real algebraic numbers of a fixed degree having a close conjugate number, the distance between the conjugate numbers being given as a function of…
On approximation of p-adic numbers by p-adic algebraic numbers
Victor Beresnevich, Vasili Bernik, Ella Kovalevskaya
A complete p-adic Khintchine type theorem for approximation by p-adic algebraic numbers is established.