1. Beresnevich, V.: Rational points near manifolds and metric Diophantine approximation. Ann. Math. (2) 175(1), 187–235 (2012)
2. Beresnevich, V., Dickinson, D., Velani, S.: Diophantine approximation on planar curves and the distribution of rational points With an Appendix II by R. C. Vaughan. Ann. Math. (2) 166(2), 367–426 (2007)
3. Beresnevich, V., Vaughan, R.C., Velani, S., Zorin, E.: Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory. Int. Math. Res. Not. IMRN 10, 2885–2908 (2017)
4. Beresnevich, V., Vaughan, R.C., Velani, S., Zorin, E.: Diophantine approximation on curves and the distribution of rational points: divergence theory.
arXiv:1809.06159
(arXiv preprint)
5. Beresnevich, V., Zorin, E.: Explicit bounds for rational points near planar curves and metric Diophantine approximation. Adv. Math. 225(6), 3064–3087 (2010)