A remarkable class of continued fractions
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- by William W. Adams and J. L. Davison PDF
- Proc. Amer. Math. Soc. 65 (1977), 194-198 Request permission
Abstract:
For any irrational number $\alpha$ and integer $a > 1$, the continued fraction of $(a - 1)\sum _{r = 1}^\infty 1/{a^{[r\alpha ]}}$ is computed explicitly in terms of the continued fraction of $\alpha$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 194-198
- MSC: Primary 10F35
- DOI: https://doi.org/10.1090/S0002-9939-1977-0441879-4
- MathSciNet review: 0441879