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Publications

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2010
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
Haynes A.  2010.  The metric theory of p-adic approximation. International Math Research Notices. (1)
Haynes A.  2010.  Numerators of differences of nonconsecutive Farey fractions. Int. J. Number Theory. 6(3)
Bugeaud Y, Harrap S, Kristensen S, Velani S.  2010.  On shrinking targets for Z^m actions on tori. Mathematika. 56(2):10pages.
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.
Budarina N, Dickinson H, Levesley J.  2010.  Simultaneous Diophantine Approximation on polynomial surfaces. Mathematika . 56:77-85.
Beresnevich V, Velani S.  2010.  Simultaneous inhomogeneous Diophantine approximation on manifolds. Fundam. Prikl. Mat.. 16(5):3-17.
2009
Zorin E, Budarina N.  2009.  Non-homogeneous analogue of Khintchine theorem for divergence case for simultaneous approximations in the different metrics. Siauliai Mathematical Seminar. 4(12)
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.
[Anonymous].  2009.  Common approximations of real and p-adic numbers with algebraic integers. Proceedings of Belorussian State Univertsity (Vestnik Belorusskogo Gosudarstvennogo Universiteta). Serie 1, V.2
[Anonymous].  2009.  Common approximations of real and p-adic numbers with algebraic integers. Vestnik Belorusskogo Gosudarstvennogo Universiteta (Proceedings of Belorussian State Univertsity). Series 1, V.2:104-109.
[Anonymous].  2009.  Common approximations of real and p-adic numbers with algebraic integers. Vestnik Belorusskogo Gosudarstvennogo Universiteta (Proceedings of Belorussian State Univertsity). 2:104-109.
Zorin E, Budarina N.  2009.  Common approximations of real and p-adic numbers with algebraic integers. Vestnik Belorusskogo Gosudarstvennogo Universiteta (Proceedings of Belorussian State Univertsity). 2:104-109.
Beineke J, Hughes C.  2009.  Great Moments of the Riemann Zeta Function. Biscuits of Number Theory. :199--215. Abstract
Haynes A, Homma K.  2009.  The group ring of Q/Z and an application of a divisor problem. Proc. Amer. Math. Soc.. 137
Haynes A.  2009.  Intermediate convergents and a metric theorem of Khinchin. Bull. Lond. Math. Soc.. 41
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
Hughes C, Nikeghbali A, Yor M.  2008.  An arithmetic model for the total disorder process. Probability Theory and Related Fields. 141:47--59. Abstract
Haynes A, Vaaler J.  2008.  Martingale differences and the metric theory of continued fractions. Illinois J. Math.. 52(1)
Beresnevich V, Velani S.  2008.  A note on zero-one laws in metrical Diophantine approximation. Acta Arithmetica. 133, no. 4:363-374.
Zorin E, Bernik V, Kukso O.  2008.  On the small values of determinant of polynomial of degree n which is a product of linear polynomials with integral coefficients. Trudy Instituta Matematiki NAN B (Proceedings of the Institute of Mathematics of the National Academy of Sciences of Belarus). 16(2):57-62.
[Anonymous].  2008.  Strengthening the approximation of zero by a polynomial from a certain set. Proceedings of the National Academy of Sciences of Belarus. 4
[Anonymous].  2008.  Strengthening the approximation of zero by a polynomial from a certain set. Proceedings of the National Academy of Sciences of Belarus. 4:121-123.

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