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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…
math.NT2014★ 2 cited
On continued fraction expansion of potential counterexamples to -adic Littlewood conjecture
Dzmitry Badziahin
The -adic Littlewood conjecture (PLC) states that for every prime and every real . Let be an infinite wor…