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| HAL: hal-00014969, version 1 |
| arXiv: math.NT/0512014 |
| Detailed view |  Export this paper |
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| Palindromic continued fractions |
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| Boris Adamczewski 1Yann Bugeaud 2 |
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| (2005-12-01) |
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| In the present work, we investigate real numbers whose sequence of partial quotients enjoys some combinatorial properties involving the notion of palindrome. We provide three new transendence criteria, that apply to a broad class of continued fraction expansions, including expansions with unbounded partial quotients. Their proofs heavily depend on the Schmidt Subspace Theorem. |
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| 1: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| 2: | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
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| Subject | : | Mathematics/Number Theory |
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| Continued fractions – transcendental numbers – palindromes – subspace theorem |
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| Attached file list to this document: | ||||||||||
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| hal-00014969, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00014969 | |
| oai:hal.archives-ouvertes.fr:hal-00014969 | |
| From: Boris Adamczewski | |
| Submitted on: Thursday, 1 December 2005 09:51:24 | |
| Updated on: Wednesday, 1 October 2008 15:02:05 | |
