5 citations · 19 across the 9 of their papers we have counts for
4 papers · 1 filter
Baker-Sprindzhuk conjectures for complex analytic manifolds
Dmitry Kleinbock
We show a large class of analytic submanifolds of C^n to be strongly extremal. This generalizes V. Sprindzhuk's solution of the complex case of Mahler's Problem, and settles comple…
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…
Some applications of homogeneous dynamics to number theory
Dmitry Kleinbock
This survey paper is not a complete reference guide to number-theoretical applications of ergodic theory. Instead, it considers an approach to a class of problems involving Diophan…
Extremal subspaces and their submanifolds
Dmitry Kleinbock
It is known that the properties of almost all points of R^n being not very well (multiplicatively) approximable are inherited by nondegenerate in R^n (read: not contained in a prop…