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Algebra, Arithmetic and Geometry with Applications
In contrast to Roth's theorem that all algebraic irrational real numbers have approximation exponent two, the distribution of the exponents for the function field counterparts is not even conjecturally understood. We describe some recent progress made on this issue. An explicit continued fraction is not known even for a single non-quadratic algebraic real number. We provide many families of explicit continued fractions, equations and exponents for non-quadratic algebraic laurent series indoi:10.1007/978-3-642-18487-1_46 fatcat:k2dmefsxvvbitdq26jeqfozfvm