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Here we provide a refinement of the irrationality measure for quasi-periodic continued fractions, motivated by Theorem 2.6 from our study of the approximation quality of Hurwitz continued fractions. The reader may notice that the arrangement of the material in this chapter follows a slightly different format as in the previous chapters, as we have chosen to postpone our results until all concepts are clearly defined and discussed.

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On a Refinement of the Measure of Irrationality

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  • 发表日期：

    2025年

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  • Carsten Elsner,
  • Christopher Robin Havens

摘要

Here we provide a refinement of the irrationality measure for quasi-periodic continued fractions, motivated by Theorem 2.6 from our study of the approximation quality of Hurwitz continued fractions. The reader may notice that the arrangement of the material in this chapter follows a slightly different format as in the previous chapters, as we have chosen to postpone our results until all concepts are clearly defined and discussed.