On the transcendence of real numbers with a regular expansion
نویسندگان
چکیده
We apply the Ferenczi–Mauduit combinatorial condition obtained via a reformulation of Ridout’s theorem to prove that a real number whose b-ary expansion is the coding of an irrational rotation on the circle with respect to a partition in two intervals is transcendental. We also prove the transcendence of real numbers whose b-ary expansion arises from a nonperiodic three-interval exchange transformation. r 2003 Elsevier Inc. All rights reserved. MSC: 11J91; 11B83; 68R15
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