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Proceedings of the American Mathematical Society

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Continued fractions with sequences of partial quotients

Author: K. E. Hirst
Journal: Proc. Amer. Math. Soc. 38 (1973), 221-227
MSC: Primary 10F20; Secondary 10K10
MathSciNet review: 0311581
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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 [Enhancements On Off] (What's this?)

  • [1] I. J. Good, The fractional dimensional theory of continued fractions, Proc. Cambridge Philos. Soc. 37 (1941), 199-228. MR 3, 75. MR 0004878 (3:75b)
  • [2] K. E. Hirst, A problem in the fractional dimension theory of continued fractions, Quart. J. Math. Oxford Ser. (2) 21 (1970), 29-35. MR 41 #3424. MR 0258778 (41:3424)

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Keywords: Continued fraction, Hausdorff measure, fractional dimension, partial quotients
Article copyright: © Copyright 1973 American Mathematical Society

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