Shrinking the period length of quasi-periodic continued fractions |
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Authors: | Takao Komatsu |
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Affiliation: | Graduate School of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan |
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Abstract: | Extending the work of Burger et al., here we show that every quasi-periodic simple continued fraction α can be transformed into a quasi-periodic non-simple continued fraction having period length one. Moreover, a certain kind of quasi-periodic non-simple continued fraction is equivalent to a quasi-periodic N-continued fraction. The results of this paper follow from arguments of Burger et al. but we apply our version to offer new continued fractions for certain classes of real numbers. |
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Keywords: | 11A55 11J70 11K60 |
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