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math.NT2015
Hyperquadratic continued fractions and automatic sequences
Alain Lasjaunias, Jia-Yan Yao
The aim of this note is to show the existence of a correspondance between certain algebraic continued fractions in fields of power series over a finite field and automatic sequence…
math.NT2015★ 19 cited
Hankel determinants, Padé approximations, and irrationality exponents
Yann Bugeaud, Guo-Niu Han, Zhi-Ying Wen +1
The irrationality exponent of an irrational number , which measures the approximation rate of by rationals, is in general extremely difficult to compute explicitly, unless w…