Inhomogeneous theory of dual Diophantine approximation on manifolds
(2012)
Journal Article
Badziahin, D., Beresnevich, V., & Velani, S. (2013). Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics, 232(1), 1-35. https://doi.org/10.1016/j.aim.2012.09.022
The theory of inhomogeneous Diophantine approximation on manifolds is developed. In particular, the notion of nice manifolds is introduced and the divergence part of the Groshev type theory is established for all such manifolds. Our results naturally... Read More about Inhomogeneous theory of dual Diophantine approximation on manifolds.