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math.NT2014
On the Mixed Littlewood Conjecture and continued fractions in quadratic fields
Paloma Bengoechea, Evgeniy Zorin
We show how a recent result by Aka and Shapira on the evolution of continued fractions in a fixed quadratic field implies the classic result of de Mathan and Teullié on the Mixed L…
math.NT2014
Thue-Morse constant is not badly approximable
Dzmitry Badziahin, Evgeniy Zorin
We prove that Thue-Morse constant is not a badly approximable number. Moreover, we prove that is not badly approximable for eve…