On the expansions of a real number to several integer bases
نویسندگان
چکیده
منابع مشابه
On the expansions of a real number to several integer bases
Only very little is known on the expansions of a real number to several integer bases. We establish various results showing that the expansions of a real number in two multiplicatively independent bases cannot both be simple, in a suitable sense. We also construct explicitly a real number ξ which is rich to all integer bases, that is, with the property that, for every integer b ≥ 2, every finit...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2012
ISSN: 0213-2230
DOI: 10.4171/rmi/697