The distribution of rational points close to a smooth manifold and Hausdorff dimension
Page 1
Vasilij I. Bernik, Ella I. Kovalevskaya (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
Bryan P. Rynne (1992)
Acta Arithmetica
H. Dickinson (1994)
Acta Arithmetica
J. Bovey, M. Dodson (1986)
Acta Arithmetica
A. D. Pollington, R. C. Vaughan (1989)
Journal de théorie des nombres de Bordeaux
We show that the Duffin and Schaeffer conjecture holds in all dimensions greater than one.
Kae Inoue (2003)
Journal de théorie des nombres de Bordeaux
We discuss the metric theory of simultaneous diophantine approximations in the non-archimedean case. First, we show a Gallagher type 0-1 law. Then by using this theorem, we prove a Duffin-Schaeffer type theorem.
Stephen Harrap (2012)
Acta Arithmetica
Page 1