Filters: Author is Beresnevich, Victor [Clear All Filters]
Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.. 2013.
An analogue of Khinchin's theorem for simultaneous approximations of the points of curves in R^3. Tr. Inst. Mat. (Minsk). 3:3-9.. 1999.
Classical metric Diophantine approximation revisited. Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. :38-61.. 2009.
The Duffin-Schaeffer Conjecture with extra divergence II. Math. Z.. 275(1):127-133.. 2013.
On generation of prime numbers. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no.2:5-10.. 2003.
Effective estimates for measures of sets of real numbers with a given order of approximation by quadratic irrationalities. Vestsi Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk. 1996, no.4:10-15.. 1996.
On the dependence of orders of approximations of points of plane curves and the vector of derivatives. Vestsi Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. 1996, no.3:125-129.. 1996.
Metric Diophantine approximation: the Khintchine-Groshev theorem for non-degenerate manifolds. Mosc. Math. J.. 2, no. 2:203-225.. 2002.
On Diophantine approximations of dependent quantities in the p-adic case. Mat. Zametki. 73, no.1:22-37.. 2003.
On approximation of real numbers by real algebraic numbers. Acta Arith.. 90, no. 2:97-112.. 1999.
Explicit bounds for rational points near planar curves and metric Diophantine approximation. Advances in Mathematics. 225(6):3064-3087.. 2010.
On a theorem of V.Bernik in the metrical theory of Diophantine approximation. Acta Arithmetica. 117, no.1:71-80.. 2005.
On approximation of p-adic numbers by p-adic algebraic numbers. Journal of Number Theory. 111, no.1:33-56.. 2005.
Simultaneous approximations of zero by an integral polynomial, its derivative, and small values of discriminants. Dokl. Nats. Akad. Nauk Belarusi. 54(2):26-28.. 2010.
The distribution of zeros of smooth functions with three degrees of freedom. Proceedings of the conference `Diophantine analysis and its applications' in honour of Sprindzuk. :7-12.. 1997.
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.
Badly approximable points on manifolds. Inventiones Mathematicae. :42p... In Press.
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.
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.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD