Transcendence with Rosen continued fractions
نویسندگان
چکیده
منابع مشابه
Transcendence with Rosen Continued Fractions
We give the first transcendence results for the Rosen continued fractions. Introduced over half a century ago, these fractions expand real numbers in terms of certain algebraic numbers.
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It was observed long ago (see e.g., [32] or [20], page 62) that Roth’s theorem [28] and its p-adic extension established by Ridout [27] can be used to prove the transcendence of real numbers whose expansion in some integer base contains repetitive patterns. This was properly written only in 1997, by Ferenczi and Mauduit [21], who adopted a point of view from combinatorics on words before applyi...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2013
ISSN: 1435-9855
DOI: 10.4171/jems/355