## Dr Detta Dickinson

### Biography

I work in the area of metric Diophantine approximation. Currently I am interested in the distribution of conjugate algebraic points in regions of space and in simultaneous Diophantine approximation on manifolds.

### Peer Reviewed Journal

Year | Publication | |
---|---|---|

2012 |
N Budarina, D Dickinson and J Yuan (2012) 'On the number of polynomials with small discriminants in the Euclidean and p-adic metrics'. Acta Mathematica Sinica, English Series, 28 :469-476. [DOI] [Full-Text] | |

2011 |
V Bernik, N Budarina and D Dickinson (2011) 'On real and complex roots of integer polynomials in a neighborhood of their small values'. DOKLADY AKADEMII NAUK BELARUSI, 55 . | |

2008 |
Natalia Budarina and Detta Dickinson (2008) 'Simultaneous Diophantine approximation of integral polynomials in different metrics'. CHEBYSHEVSKII SBORNIK, 9 :169-184. [Full-Text] | |

2007 |
V. I. Bernik, N. Budarina and D. Dickinson (2007) 'Khintchine's theorem and the approximation of zero by the values of integer polynomials in different metrics'. Doklady Mathematics, 75 :201-203. | |

2007 |
V. Bernik, N. Budarina and D. Dickinson (2007) 'Simultaneous approximation of real and complex numbers by algebraic numbers of a special kind'. TRUDY INSTITUTA MATEMATICA, 15 :3-9. | |

2007 |
V. Bernik, N. Budarina and D. Dickinson (2007) 'p-adic Diophantine approximation on the Veronese curve with a non-monotonic error'. TRUDY INSTITUTA MATEMATICA, 15 :98-104. | |

2007 |
V. Bernik, N. Budarina and D. Dickinson (2007) 'Khintchine's theorem and simultaneous Diophantine approximation of zero by the values of integer polynomials in R*C'. Vesti NAN Belarusi, Ser. Fiz-mat nauk, 2 :48-52. | |

2006 |
N. Budarina and D. Dickinson (2006) 'Simultaneous Diophantine approximation on surfaces defined by polynomial expressions x_1^d +...+x_m^d'. ANALYTIC AND PROBABILISTIC METHODS IN NUMBER THEORY, (Vilnius) :1-7. | |

2001 |
D. Dickinson and M. M. Dodson (2001) 'Simultaneous Diophantine approximation on the circle'. Mathematical Proceedings of the Cambridge Philosophical Society, 130 :513-522. | |

2001 |
V. Beresnevitch, D. Dickinson and S. L. Velani (2001) 'Sets of exact 'logarithmic' order in the theory of Diophantine approximation'. MATHEMATISCHES ANNALEN, 321 :253-273. [Full-Text] | |

2000 |
V. Beresnevich, V. I. Bernik, D. Dickinson and M. M. Dodson (2000) 'On linear manifolds for which the Khinchin approximation theorem holds'. Vesti Nats Akad. Navuk Belaruis Ser. Fiz.-mat. Navuk, 2 :14-17. | |

2000 |
D. Dickinson and M. M. Dodson (2000) 'Extremal manifolds and Hausdorff dimension'. Duke Mathematical Journal, 101 :271-281. [DOI] [Full-Text] | |

2000 |
D. Dickinson and B. P. Rynne (2000) 'Hausdorff dimension and a generalized form of simultaneous Diophantine approximation'. Acta Arithmetica, 93 :21-36. [Full-Text] | |

2000 |
D. Dickinson and Jin Yuan (2000) 'Apery sequences and Legendre transforms'. Journal of the Australian Mathematical Society, 68 :349-356. [DOI] [Full-Text] | |

1999 |
V. I. Bernik, D. Dickinson and Jin Yuan (1999) 'Inhomogeneous Diophantine approximation on polynomial curves in Q_p'. Acta Arithmetica, 90 :37-48. [Full-Text] | |

1999 |
V. V. Beresnevich, V. I. Bernik, D. Dickinson and M. M. Dodson (1999) 'The Khintchine-Groshev theorem for planar curves'. PROCEEDINGS OF THE ROYAL SOCIETY A, 455 :3053-3063. [Full-Text] | |

1999 |
D. Dickinson, M. M. Dodson and Jin Yuan (1999) 'Hausdorff dimension and p-adic Diophantine approximation'. Indagationes Mathematicae-New Series, 10 :337-347. [DOI] [Full-Text] | |

1998 |
V. I. Bernik, D. Dickinson and M. M. Dodson (1998) 'A Khtinchine-type version of Schmidt's theorem for planar curves'. PROCEEDINGS OF THE ROYAL SOCIETY A, 454 :179-185. [DOI] [Full-Text] | |

1998 |
V. I. Bernik, D. Dickinson and M. M. Dodson (1998) 'Approximation of real numbers by values of integer polynomials'. DOKLADY AKADEMII NAUK BELARUSI, 42 :51-54. | |

1997 |
D. Dickinson (1997) 'A note on the theorem of Jarnik-Besicovitch'. Glasgow Mathematical Journal, 39 :233-236. [Full-Text] | |

1997 |
D. Dickinson and S. L. Velani (1997) 'Hausdorff measure and linear forms'. JOURNAL REINE ANGEW MATHEMATIK, 490 :1-36. [DOI] | |

1994 |
D. Dickinson (1994) 'The Hausdorff dimension of sets arising in Diophantine approximation'. Acta Arithmetica, 53 :133-140. | |

1993 |
D. Dickinson (1993) 'The Hausdorff dimension of systems of simultaneously small linear forms'. Mathematika, 40 :367-374. [DOI] [Full-Text] |

### Conference Contribution

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