Continued fractions with sequences of partial quotients

Hirst, K. E.

doi:10.1090/S0002-9939-1973-0311581-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Continued fractions with sequences of partial quotients
HTML articles powered by AMS MathViewer

by K. E. Hirst PDF

Proc. Amer. Math. Soc. 38 (1973), 221-227 Request permission

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