Continued fractions with sequences of partial quotients
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- by K. E. Hirst
- Proc. Amer. Math. Soc. 38 (1973), 221-227
- DOI: https://doi.org/10.1090/S0002-9939-1973-0311581-4
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Abstract:
Three results are proved concerning the Hausdorff fractional dimension of sets of continued fractions whose partial quotients belong to given sequences.References
- I. J. Good, The fractional dimensional theory of continued fractions, Proc. Cambridge Philos. Soc. 37 (1941), 199–228. MR 4878, DOI 10.1017/s030500410002171x
- K. E. Hirst, A problem in the fractional dimension theory of continued fractions, Quart. J. Math. Oxford Ser. (2) 21 (1970), 29–35. MR 258778, DOI 10.1093/qmath/21.1.29
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 221-227
- MSC: Primary 10F20; Secondary 10K10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0311581-4
- MathSciNet review: 0311581