Diophantine approximation, Khintchine's theorem, torus geometry and Hausdorff dimension
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[1] Mukarram Ahmad,et al. Continued fractions , 2019, Quadratic Number Theory.
[2] Diophantine approximation on rational quadrics , 2005, math/0503606.
[3] M. Dodson. Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation. , 1992 .
[4] P. Gallagher. Metric simultaneous diophantine approximation (II) , 1965 .
[5] E. T.. An Introduction to the Theory of Numbers , 1946, Nature.
[6] Glyn Harman,et al. Metric number theory , 1998 .
[7] R. LePage. Review: Kai Lai Chung, A Course in Probability Theory , 1970 .
[8] P. Mattila. Geometry of Sets and Measures in Euclidean Spaces: Rectifiability and singular integrals , 1995 .
[9] W. Schmidt,et al. Diophantine Approximation and Hausdorff Dimension , 1970 .
[10] K. Parthasarathy. Introduction to Probability and Measure , 1979 .
[11] Simon Kochen,et al. A note on the Borel-Cantelli lemma , 1964 .
[12] R. Vaughan,et al. The k -dimensional Duffin and Schaeffer conjecture , 1990 .
[13] Detta Dickinson. Hausdorff measure and linear forms. , 1997 .
[14] Victor Beresnevich,et al. A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures , 2004 .
[15] V. G. Sprindzhuk. Metric theory of diophantine approximations , 1979 .
[16] M. M. Dodson,et al. Diophantine approximation and a lower bound for Hausdorff dimension , 1990 .
[17] R. Duffin,et al. Khintchine’s problem in metric Diophantine approximation , 1941 .
[18] Kai Lai Chung,et al. A Course in Probability Theory , 1949 .
[19] Roger C. Baker,et al. Metric Diophantine Approximation on Manifolds , 1976 .
[20] Dennis Sullivan,et al. Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics , 1982 .
[21] Victor Beresnevich,et al. Measure Theoretic Laws for Lim Sup Sets , 2004 .
[22] T. O’Neil. Geometric Measure Theory , 2002 .