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Publications

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Submitted
Badziahin D, Velani S.  Submitted.  Badly approximable points on planar curves and a problem of Davenport.
2013
Badziahin D, Beresnevich V, Velani S.  2013.  Inhomogeneous theory of dual Diophantine approximation on manifolds. Advances in Mathematics . 232(1):1-35.
2011
Badziahin D, Levesley J, Velani S.  2011.  The mixed Schmidt conjecture in the theory of Diophantine approximation. Mathematika. 57(2):239-245. Abstract
Badziahin D, Velani S.  2011.  Multiplicatively badly approximable numbers and generalised Cantor sets. Adv. Math.. 225:2766-2796.
Haynes A, Badziahin D.  2011.  A note on Farey fractions with denominators in arithmetic progressions. Acta Arith.. 147(3):205–215.
Badziahin D, Pollington A, Velani S.  2011.  On a problem in simultaneous Diophantine approximation: Schmidt's conjecture. Annals of Mathematics. 174:1837-1883. Abstract
2010
Badziahin D.  2010.  Inhomogeneous Diophantine approximation on curves and Hausdorff dimension. Advances in Mathematics. 223(1):329--351. Abstract
2007
Badziahin D, Levesley J.  2007.  A Note on Simultaneous & Multiplicative Diophantine Approximation on Planar Curves. Glasgow Mathematical Journal. 49 (2):367-375. Abstract
2006
Badziahin D, Levesley J.  2006.  Computation of fractional measures in the case of convergence for Diophantine approximations on planar curves.. Dokl. Nats. Akad. Nauk Belarusi. 50(6):3.

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