Geometrical, dynamical and transference principles in non-linear Diophantine approximation and applications

Research output

Research output per year 2008 2010 2015

• 11 Article
• 1 Chapter
• 1 Paper

Research output per year

Research output per year

Search results

• 2015

  Non-planarity and metric Diophantine approximation for systems of linear forms

  Beresnevich, V., Kleinbock, D. & Margulis, G., 21 May 2015, (E-pub ahead of print) In: Journal de Théorie des Nombres de Bordeaux. 27, 1, p. 1-31 31 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
• 2013

  Inhomogeneous theory of dual Diophantine approximation on manifolds

  Badziahin, D., Beresnevich, V. & Velani, S., 15 Jan 2013, In: Advances in Mathematics. 232, 1, p. 1-35 35 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

• Multiplicative zero-one laws and metric number theory

  Beresnevich, V., Haynes, A. & Velani, S., Jun 2013, In: Acta Arithmetica. 160, 2, p. 101-114 14 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
• 2012

  Rational points near manifolds and metric Diophantine approximation

  Beresnevich, V., Jan 2012, In: Annals of Mathematics. 175, 1, p. 187-235 49 p.

  Research output: Contribution to journal › Article › peer-review
• 2011

  Inhomogeneous Diophantine approximation on planar curves

  Beresnevich, V., Vaughan FRS, R. & Velani, S., Apr 2011, In: Mathematische Annalen. 349, 4, p. 929-942 14 p.

  Research output: Contribution to journal › Article › peer-review
• 2010

  An inhomogeneous transference principle and Diophantine approximation

  Beresnevich, V. & Velani, S., Nov 2010, In: Proceedings of the London Mathematical Society. 101, 3, p. 821-851 31 p.

  Research output: Contribution to journal › Article › peer-review

• Classical Metric Diophantine Approximation Revisited: The Khintchine-Groshev Theorem

  Beresnevich, V. & Velani, S., 2010, In: International Mathematics Research Notices. 2010, 1, p. 69-86 18 p.

  Research output: Contribution to journal › Article › peer-review

• Explicit bounds for rational points near planar curves and metric Diophantine approximation

  Beresnevich, V. & Zorin, E., 20 Dec 2010, In: Advances in Mathematics. 225, 6, p. 3064-3087 24 p.

  Research output: Contribution to journal › Article › peer-review

• The distribution of close conjugate algebraic numbers

  Beresnevich, V., Bernik, V. & Goetze, F., Sept 2010, In: Compositio Mathematica. 146, 5, p. 1165-1179 15 p.

  Research output: Contribution to journal › Article › peer-review
• 2008

  An inhomogeneous wave equation and non-linear Diophantine approximation

  Beresnevich, V., Dodson, M. M., Kristensen, S. & Levesley, J., 30 Jan 2008, In: Advances in Mathematics. 217, 2, p. 740-760 21 p.

  Research output: Contribution to journal › Article › peer-review

• A note on zero-one laws in metrical Diophantine approximation

  Beresnevich, V. & Velani, S., 2008, In: Acta Arithmetica. 133, 4, p. 363-374 12 p.

  Research output: Contribution to journal › Article › peer-review