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Proceedings of the American Mathematical Society

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

 

 

A remarkable class of continued fractions


Authors: William W. Adams and J. L. Davison
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
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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 $.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0441879-4
Article copyright: © Copyright 1977 American Mathematical Society