Continued ðœ·-fractions with Pisot unit base in ð‘ð’’ ((ð’™âˆ’ðŸ)) Continued ðœ·-fractions with Pisot unit base in ð‘ð’’ ((ð’™âˆ’ðŸ))
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Abstract
In this paper, we are interested in introducing a new theory of continued fractions based on the beta-expansion theory in the field of Laurent series over a finite field ð¹ð‘ž. We will characterize all elements having finite continued beta-fraction where the base is a unit Pisot quadratic series.
Classification Mathematic Subject: 11R06, 37B50.
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How to Cite
Kammoun, R. (2018). Continued ðœ·-fractions with Pisot unit base in ð‘ð’’ ((ð’™âˆ’ðŸ)): Continued ðœ·-fractions with Pisot unit base in ð‘ð’’ ((ð’™âˆ’ðŸ)). Asian Journal of Mathematical Sciences(AJMS), 1(06). Retrieved from http://www.ajms.in/index.php/ajms/article/view/142
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Research Article
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