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Publications

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Submitted
Beresnevich V.  Submitted.  Badly approximable points on manifolds.
Beresnevich V, Haynes A, Velani S.  Submitted.  Multiplicative zero-one laws and metric number theory. .
Beresnevich V, Kleinbock D, Margulis G.  Submitted.  Non-planarity and metric Diophantine approximation for systems of linear forms.
In Press
Beresnevich V, Harman G, Haynes A, Velani S.  In Press.  The Duffin-Schaeffer Conjecture with extra divergence II. Math. Z..
2013
Badziahin D, Beresnevich V, Velani S.  2013.  Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.
Beresnevich V, Bernik V, Goetze F, Kukso O.  2013.  Distribution of algebraic numbers and metric theory of Diophantine approximation.
2012
Beresnevich V.  2012.  Rational points near manifolds and metric Diophantine approximation. Annals of Mathematics. 175(1):187-235. Abstract
2011
Beresnevich V, Vaughan R, Velani S.  2011.  Inhomogeneous Diophantine approximation on planar curves. Math. Annalen. 349, no. 4:929-942. Abstract
2010
Beresnevich V, Velani S.  2010.  Classical metric Diophantine approximation revisited: the Khintchine-Groshev theorem. Int. Math. Res. Not.. 2010, no.1:69-86. Abstract
Beresnevich V, Bernik V, Götze F.  2010.  The distribution of close conjugate algebraic numbers. Compositio Mathematica. 146(5):1165-1179. Abstract
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, Velani S.  2010.  An Inhomogeneous Transference Principle and Diophantine Approximation. Proc. Lond. Math. Soc. 101(3):821-851. Abstract
Beresnevich V, Bernik VI, Goetze F.  2010.  On the distribution of the values of the resultants of integral polynomials. Dokl. Nats. Akad. Nauk Belarusi. 54(5):21-23.
Beresnevich V, Bernik V, Götze F.  2010.  Simultaneous approximations of zero by an integral polynomial, its derivative, and small values of discriminants. Dokl. Nats. Akad. Nauk Belarusi. 54(2):26-28.
Beresnevich V, Velani S.  2010.  Simultaneous inhomogeneous Diophantine approximation on manifolds. Fundam. Prikl. Mat.. 16(5):3-17.
2009
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.  2009.  Ubiquity and a general logarithm law for geodesics.. Dynamical Systems and Diophantine Approximation. Seminaires et Congres. 20:21-36. Abstract
2008
Beresnevich V, Dodson MM, Kristensen S, Levesley J.  2008.  An inhomogeneous wave equation and non-linear Diophantine approximation. Advances in Mathematics. 217, no. 2:740-760. Abstract
Beresnevich V, Velani S.  2008.  A note on zero-one laws in metrical Diophantine approximation. Acta Arithmetica. 133, no. 4:363-374.
2007
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, Velani S.  2007.  A note on simultaneous Diophantine approximation on planar curves. Mathematischen Annalen. 337:769-796.
2006
Beresnevich V, Velani S.  2006.  A Mass Transference Principle and the Duffin-Schaeffer conjecture for Hausdorff measures. Annals of Math.. 164, no. 3:971-992. Abstract
Beresnevich V, Dickinson H, Velani S.  2006.  Measure theoretic laws for lim sup sets. Memoirs of the AMS. 179 (no 846):91pages. Abstract
Beresnevich V, Velani S.  2006.  Schmidt's theorem, Hausdorff measures and Slicing. International Mathematics Research Notices, Article ID 48794,. 2006:24pages. Abstract
2005
Beresnevich V.  2005.  On a theorem of V.Bernik in the metrical theory of Diophantine approximation. Acta Arithmetica. 117, no.1:71-80. Abstract

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