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Publications

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A
Beresnevich V, Bernik VI.  2000.  A. Baker's conjecture and Hausdorff dimension. Publ. Math. Debrecen. 56, no.3-4:263-269.
Beresnevich V.  1999.  An analogue of Khinchin's theorem for simultaneous approximations of the points of curves in R^3. Tr. Inst. Mat. (Minsk). 3:3-9.
Beresnevich V.  2000.  An analogue of the Khinchin-Groshev theorem for curves in R^n. Dokl. Nats. Akad. Nauk Belarusi. 44, no.3:29-32.
Beresnevich V.  2000.  An analogue of the Khinchin-Groshev theorem for nondegenerate manifolds in R^n. Dokl. Nats. Akad. Nauk Belarusi. 44, no.4:42-45.
Beresnevich V, Vasilyev DV.  2001.  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.
Beresnevich V.  2000.  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.
B
Beresnevich V.  Submitted.  Badly approximable points on manifolds.
Beresnevich V.  1999.  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.
C
Beresnevich V, Bernik B, Dodson MM, Velani S.  2009.  Classical metric Diophantine approximation revisited. Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. :38-61.
Beresnevich V, Velani S.  2010.  Classical metric Diophantine approximation revisited: the Khintchine-Groshev theorem. Int. Math. Res. Not.. 2010, no.1:69-86. Abstract
D
Beresnevich V, Bernik VI.  2002.  Diophantine approximation on classical curves and Hausdorff dimension. Analytic and probabilistic methods in number theory (Palanga, 2001).. :20-27.
Beresnevich V, Dickinson H, Velani S.  2007.  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. Abstract
Beresnevich V, Bernik V, Goetze F, Kukso O.  2013.  Distribution of algebraic numbers and metric theory of Diophantine approximation.
Beresnevich V, Bernik V, Götze F.  2010.  The distribution of close conjugate algebraic numbers. Compositio Mathematica. 146(5):1165-1179. Abstract
Beresnevich V.  2001.  The distribution of rational points nearby a parabola. Dokl. Nats. Akad. Nauk Belarusi. 45, no. 2:21-23.
Beresnevich V.  1997.  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.
Beresnevich V, Harman G, Haynes A, Velani S.  In Press.  The Duffin-Schaeffer Conjecture with extra divergence II. Math. Z..
E
Beresnevich V.  1996.  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.
Beresnevich V.  1999.  Exact order of approximation of real numbers by algebraic numbers. Dokl. Akad. Nauk. 366, no.5:583-586.
Beresnevich V, Zorin E.  2010.  Explicit bounds for rational points near planar curves and metric Diophantine approximation. Advances in Mathematics. 225(6):3064-3087. Abstract
Beresnevich V, Bernik VI.  1994.  Extremal smooth curves in three-dimensional Euclidean space. Dokl. Akad. Nauk Belarusi. 38, no.3:9-12.
G
Beresnevich V.  2002.  A Groshev type theorem for convergence on manifolds. Acta Math. Hungar.. 94:99-130. Abstract
I
Beresnevich V, Vaughan R, Velani S.  2011.  Inhomogeneous Diophantine approximation on planar curves. Math. Annalen. 349, no. 4:929-942. Abstract
Beresnevich V, Bernik VI, Dodson MM.  1997.  Inhomogeneous non-linear Diophantine approximation. Proceedings of the conference `Diophantine analysis and its applications' in honour of Sprindzuk. :13-20.
Badziahin D, Beresnevich V, Velani S.  2013.  Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.

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