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Diophantine Approximation and applications in Interference Alignment. Advances in Mathematics. 302:231-279.. 2016.
Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.. 2013.
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.
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.
Non-planarity and metric Diophantine approximation for systems of linear forms. Journal de Théorie des Nombres de Bordeaux. 27(1):1-31.. 2015.
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.
Multiplicative zero-one laws and metric number theory. Acta Arithmetica. 160(2):101-114.. 2013.
A Mass Transference Principle and the Duffin-Schaeffer conjecture for Hausdorff measures. Annals of Math.. 164, no. 3:971-992.. 2006.
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.
On a proof of analogues of the Khintchine theorem for curves. Vestsi Nats. Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk. 2000, no. 3:35-40.. 2000.
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.
The distribution of rational points nearby a parabola. Dokl. Nats. Akad. Nauk Belarusi. 45, no. 2:21-23.. 2001.
Sets of exact 'logarithmic' order in the theory of Diophantine approximation. Math Annalen. 321:253-273.. 2001.
Rational points near manifolds and metric Diophantine approximation. Annals of Mathematics. 175(1):187-235.. 2012.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD