36 citations · 49 across the 4 of their papers we have counts for
4 papers
On distribution of points with algebraically conjugate coordinates in neighborhood of smooth curves
Vasili Bernik, Friedrich Götze, Anna Gusakova
Let be a continuously differentiable function on an interval and let be a point with algebraicall…
On points with algebraically conjugate coordinates close to smooth curves
V. Bernik, F. Götze, A. Gusakova
We show that for any sufficiently large integer and a real there exists a value such that all strips $L(Q,λ)=\{(x,y):|y-f(x)|<Q^{-λ}, x\in J=[a…
Classical metric Diophantine approximation revisited
Victor Beresnevich, Vasily Bernik, Maurice Dodson +1
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, originating with E. Borel, has been used for nearly a century. It has led to the deve…
Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds
V. Beresnevich, V. Bernik, D. Kleinbock +1
The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier resu…