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• W2079999463 abstract "We prove, using a theorem of W. Schmidt, that if the sequence of partial quotients of the continued fraction expansion of a positive irrational real number takes only two values, and begins with arbitrary long blocks which are “almost squares,” then this number is either quadratic or transcendental. This result applies in particular to real numbers whose partial quotients form a Sturmian (or quasi-Sturmian) sequence, or are given by the sequence (1+(⌊nα⌋ mod 2))n⩾0, or are a “repetitive” fixed point of a binary morphism satisfying some technical conditions." @default.
• W2079999463 created "2016-06-24" @default.
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• W2079999463 date "2001-11-01" @default.
• W2079999463 modified "2023-10-18" @default.
• W2079999463 title "Transcendence of Sturmian or Morphic Continued Fractions" @default.
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• W2079999463 doi "https://doi.org/10.1006/jnth.2001.2669" @default.
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