Levels of multi-continued fraction expansion of multi-formal Laurent series |
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Authors: | Zongduo Dai Ping Wang |
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Affiliation: | aState Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, PR China |
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Abstract: | The multi-continued fraction expansion of a multi-formal Laurent series is a sequence pair consisting of an index sequence and a multi-polynomial sequence . We denote the set of the different indices appearing infinitely many times in by H∞, the set of the different indices appearing in by H+, and call |H∞| and |H+| the first and second levels of , respectively. In this paper, it is shown how the dimension and basis of the linear space over F(z) (F) spanned by the components of are determined by H∞ (H+), and how the components are linearly dependent on the mentioned basis. |
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Keywords: | Level of m-continued fraction expansion m-CFA Multi-formal Laurent series |
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