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1. On the rational approximation to Thue--Morse rational numbers.

Author

BUGEAUD, YANN and GUO-NIU HAN

Subjects
CONTINUED fractions, RATIONAL numbers, REAL numbers
Abstract

Let b ≥ 2 and l ≥ 1 be integers.We establish that there is an absolute real number K such that all the partial quotients of the rational number Πh=0l (1 - b-2h), of denominator b2l+1-1, do not exceed exp (K(log b)² √l2l/2) [ABSTRACT FROM AUTHOR]

Published
2024
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