Rational points near planar curves and Diophantine approximation
نویسندگان
چکیده
منابع مشابه
Diophantine approximation on planar curves and the distribution of rational points
Let C be a non–degenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote the set of simultaneously ψ–approximable points lying on C. We show that C is of Khintchine type for divergence; i.e. if a certain sum diverges then the one-dimensional Lebesgue measure on C of C(ψ) is full. We also obtain the Hausdorff measure analogue of the divergent Khintchine type result. ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2015
ISSN: 0001-8708
DOI: 10.1016/j.aim.2015.01.013