Filters: Author is Beresnevich, Victor [Clear All Filters]
Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.. 2013.
On a theorem of V.Bernik in the metrical theory of Diophantine approximation. Acta Arithmetica. 117, no.1:71-80.. 2005.
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.
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.
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.
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.
Multiplicative zero-one laws and metric number theory. Acta Arithmetica. 160(2):101-114.. 2013.
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.
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.
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.
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.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD