8 citations · 20 across the 7 of their papers we have counts for
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math.NT2016★ 2 cited
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…
math.NT2016★ 7 cited
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…
math.NT2016
On algebraic integers in short intervals and near smooth curves
Friedrich Götze, Anna Gusakova
In 1970 A. Baker and W. Schmidt introduced regular systems of numbers and vectors, showing that the set of real algebraic numbers forms a regular system on any fixed interval. This…