8 citations · 20 across the 7 of their papers we have counts for
7 papers
Intrinsic volumes of ellipsoids
Anna Gusakova, Evgeny Spodarev, Dmitry Zaporozhets
We deduce explicit formulae for the intrinsic volumes of an ellipsoid in , , in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset \mat…
On the distribution of Salem numbers
Friedrich Götze, Anna Gusakova
In this paper we study the problem of counting Salem numbers of fixed degree. Given a set of disjoint intervals , let $Sa…
Distribution of complex algebraic numbers on the unit circle
Friedrich Götze, Anna Gusakova, Zakhar Kabluchko +1
For denote by the number of algebraic numbers on the unit circle with arguments in of degree and with elliptic height at most…
Random affine simplexes
Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets
For a fixed consider random vectors with an arbitrary spherically symmetric joint density function. Let be any non-singular…
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…
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…