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Some more predictable continued fractions

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Abstract

The continued fraction expansions of a certain class of numbers of the form.

$$u^{ - k_0 } \pm u^{ - k_1 } \pm u^{ - k_2 } \pm ...$$

have a definite pattern.

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References

  1. Shallit, J.: Simple Continued fractions for some irrational numbers. J. Numb. Th.11, 209–217, (1979).

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  2. Schneider, Th.: Einführung in die transzendenten Zahlen. Berlin-Göttingen-Heidelberg: Springer, 1957.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Würzburg, Am Hubland, D-8700, Würzburg, Germany

    Günter Köhler

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  1. Günter Köhler
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Köhler, G. Some more predictable continued fractions. Monatshefte für Mathematik 89, 95–100 (1980). https://doi.org/10.1007/BF01476587

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  • DOI: https://doi.org/10.1007/BF01476587

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