The Hausdorff-Beiscovich dimension of the level sets of Perron’s modular function
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- by John R. Kinney and Tom S. Pitcher PDF
- Trans. Amer. Math. Soc. 124 (1966), 122-130 Request permission
References
- Marshall Hall Jr., On the sum and product of continued fractions, Ann. of Math. (2) 48 (1947), 966–993. MR 22568, DOI 10.2307/1969389 V. Jarnik, Zur Metrischen Theorie der Diophantischen Approximationen, Prace Mat. Fix. 36 (1928), 91-106.
- A. Ya. Khintchine, Continued fractions, P. Noordhoff Ltd., Groningen, 1963. Translated by Peter Wynn. MR 0161834
- John R. Kinney and Tom S. Pitcher, The dimension of some sets defined in terms of $f$-expansions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 4 (1965/66), 293–315. MR 198515, DOI 10.1007/BF00539116 O. Perron, Über die Approximation Irrationaler Zahlen durch Rationale, S.-B. Heidelberger Akad. Wiss. Math. Nat. K1. (1921), 3-17.
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 124 (1966), 122-130
- MSC: Primary 10.33; Secondary 10.09
- DOI: https://doi.org/10.1090/S0002-9947-1966-0197398-3
- MathSciNet review: 0197398