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Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.. 2013.
A Groshev type theorem for convergence on manifolds. Acta Math. Hungar.. 94:99-130.. 2002.
An analogue of the Khintchine theorem for curves in a three-dimensional complex space. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no.1:5-7.. 2001.
The Khintchine-Groshev theorem for planar curves. Proc. Roy. Soc. Lond A. 455:3053-3063.. 1999.
The distribution of close conjugate algebraic numbers. Compositio Mathematica. 146(5):1165-1179.. 2010.
On a metrical theorem of W. Schmidt. Acta Arith.. 75, no. 3:219-233.. 1996.
Simultaneous approximations of zero by values of smooth functions. Vestsi Akad. Navuk Belarusi Ser. Fiz. Mat. Navuk. no.3:20-25.. 1994.
On the distribution of the values of the resultants of integral polynomials. Dokl. Nats. Akad. Nauk Belarusi. 54(5):21-23.. 2010.
Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory. International Mathematics Research Notices.. In Press.
Schmidt's theorem, Hausdorff measures and Slicing. International Mathematics Research Notices, Article ID 48794,. 2006:24pages.. 2006.
Diophantine approximation on classical curves and Hausdorff dimension. Analytic and probabilistic methods in number theory (Palanga, 2001).. :20-27.. 2002.
Application of the concept of regular systems of points in metric number theory. Vestsi Nats. Akad. Navuk Belarusi. Ser. Fiz.-Mat.. no. 1:35-39.. 2000.
Inhomogeneous Diophantine approximation on planar curves. Math. Annalen. 349, no. 4:929-942.. 2011.
On linear manifolds for which the Khintchine approximation theorem holds. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no. 2:14-17.. 2000.
Metric theorems on the approximation of p-adic numbers by algebraic numbers of bounded degree. Dokl. Nats. Akad. Nauk Belarusi. 46, no.4:13-15.. 2002.
An inhomogeneous wave equation and non-linear Diophantine approximation. Advances in Mathematics. 217, no. 2:740-760.. 2008.
A Mass Transference Principle and the Duffin-Schaeffer conjecture for Hausdorff measures. Annals of Math.. 164, no. 3:971-992.. 2006.
Inhomogeneous non-linear Diophantine approximation. Proceedings of the conference `Diophantine analysis and its applications' in honour of Sprindzuk. :13-20.. 1997.
A note on zero-one laws in metrical Diophantine approximation. Acta Arithmetica. 133, no. 4:363-374.. 2008.
Metric theory of Diophantine approximation and exact lower bounds for the number of integral polynomals with given discriminants. Doklady of the National Academy od Sciences of Belarus. 57(1):17-20.. 2013.
Diophantine approximation on planar curves and the distribution of rational points (with an appendix by R.C. Vaughan: Sums of two squares near perfect squares). Annals of Mathematics. 166, no.2:367-426.. 2007.
On the Hausdorff dimension of sets of well approximable points on non-degenerate curves. Dokl. Nats. Akad. Nauk Belarusi. 46, no.6:18-20.. 2002.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD