Filters: Author is Beresnevich, Victor [Clear All Filters]
Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.. 2013.
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.
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.
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.
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.
Inhomogeneous Diophantine approximation on planar curves. Math. Annalen. 349, no. 4:929-942.. 2011.
Non-planarity and metric Diophantine approximation for systems of linear forms. Journal de Théorie des Nombres de Bordeaux.. In Press.
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.
An inhomogeneous wave equation and non-linear Diophantine approximation. Advances in Mathematics. 217, no. 2:740-760.. 2008.
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.
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.
Inhomogeneous non-linear Diophantine approximation. Proceedings of the conference `Diophantine analysis and its applications' in honour of Sprindzuk. :13-20.. 1997.
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.
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.
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