Filters: Author is Beresnevich, Victor [Clear All Filters]
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.
Badly approximable points on manifolds. Inventiones Mathematicae. 202(3):1199-1240.. 2015.
Best order of approximation of points of smooth curves in a three-dimensional Euclidean space. Dokl. Nats. Akad. Nauk Belarusi. 43, no.4:9-13.. 1999.
An analogue of the Khinchin-Groshev theorem for curves in R^n. Dokl. Nats. Akad. Nauk Belarusi. 44, no.3:29-32.. 2000.
An Inhomogeneous Transference Principle and Diophantine Approximation. Proc. Lond. Math. Soc. 101(3):821-851.. 2010.
On a construction of regular systems of points with real, complex and p-adic coordinates. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no.1:22-27.. 2003.
A. Baker's conjecture and Hausdorff dimension. Publ. Math. Debrecen. 56, no.3-4:263-269.. 2000.
Classical metric Diophantine approximation revisited: the Khintchine-Groshev theorem. Int. Math. Res. Not.. 2010, no.1:69-86.. 2010.
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.
Measure theoretic laws for lim sup sets. Memoirs of the AMS. 179 (no 846):91pages.. 2006.
Exact order of approximation of real numbers by algebraic numbers. Dokl. Akad. Nauk. 366, no.5:583-586.. 1999.
Regular systems, ubiquity and Diophantine approximation. A Panorama of Number Theory or The View from Baker's Garden. :260-279.. 2002.
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.
The Khintchine-Groshev theorem for planar curves. Proc. Roy. Soc. Lond A. 455:3053-3063.. 1999.
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.
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.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD