Cantor sets determined by partial quotients of continued fractions of Laurent series
暂无分享,去创建一个
Jun Wu | Xue-Hai Hu | Bao-Wei Wang | Yue-Li Yu | Xue Hai Hu | Bao-Wei Wang | Jun Wu | Yue-Li Yu | Xue-Hai Hu
[1] I. Good. The fractional dimensional theory of continued fractions , 1941, Mathematical Proceedings of the Cambridge Philosophical Society.
[2] Harald Niederreiter,et al. The Probabilistic Theory of Linear Complexity , 1988, EUROCRYPT.
[3] S. Krantz. Fractal geometry , 1989 .
[4] Harald Niederreiter,et al. Linear Complexity Profiles: Hausdorff Dimensions for Almost Perfect Profiles and Measures for General Profiles , 1997, J. Complex..
[5] Jun Wu,et al. Hausdorff dimensions of bounded-type continued fraction sets of Laurent series , 2007, Finite Fields Their Appl..
[6] M. Borel. Les probabilités dénombrables et leurs applications arithmétiques , 1909 .
[7] É. Borel. Sur un problème de probabilités relatif aux fractions continues , 1912 .
[8] Mukarram Ahmad,et al. Continued fractions , 2019, Quadratic Number Theory.
[9] V. Jarník,et al. Zur metrischen Theorie der diophantischen Approximationen , 1929 .
[10] Simon Kristensen,et al. On well-approximable matrices over a field of formal series , 2003, Mathematical Proceedings of the Cambridge Philosophical Society.
[11] P. A. P. Moran,et al. Additive functions of intervals and Hausdorff measure , 1946, Mathematical Proceedings of the Cambridge Philosophical Society.
[12] I. Good. C327. Addenda for “the fractional dimensional theory of continued fractions”, proc. cambridge philos. soc. 37 (1941), 199-228. , 1989 .
[13] F. Bernstein. Über eine Anwendung der Mengenlehre auf ein aus der Theorie der säkularen Störungen herrührendes Problem , 1911 .
[14] Kenneth Falconer,et al. Fractal Geometry: Mathematical Foundations and Applications , 1990 .
[15] W. Schmidt. On continued fractions and diophantine approximation in power series fields , 2000 .
[16] Z. Wen,et al. Some dimensional results for homogeneous Moran sets , 1997 .
[17] C. G. Moorthy. A problem of Good on Hausdorff dimension , 1992 .
[18] V. G. Sprindzhuk. Mahler's Problem in Metric Number Theory , 1969 .
[19] Tomasz Łuczak. On the fractional dimension of sets of continued fractions , 1997 .
[20] Michael Fuchs,et al. On Metric Diophantine Approximation in the Field of Formal Laurent Series , 2002 .
[21] K. Hirst. A PROBLEM IN THE FRACTIONAL DIMENSION THEORY OF CONTINUED FRACTIONS , 1970 .
[22] E. Artin,et al. Quadratische Körper im Gebiete der höheren Kongruenzen. I. , 1924 .