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math.NT2021
Simultaneous rational approximation to successive powers of a real number
Anthony Poëls, Damien Roy
We develop new tools leading, for each integer , to a significantly improved upper bound for the uniform exponent of rational approximation to successive p…
math.NT2021★ 2 cited
Exponents of Diophantine approximation in dimension two for a general class of numbers
Anthony Poëls
We study the Diophantine properties of a new class of transcendental real numbers which contains, among others, Roy's extremal numbers, Bugeaud-Laurent Sturmian continued fractions…