Diophantine Approximation and Continued Fraction Expansions of Algebraic Power Series in Positive Characteristic Original Research Article

In a recent paper M. Buck and D. Robbins have given the continued fraction expansion of an algebraic power series when the base field is image3. We study its rational approximation property in relation with Rothʹs theorem, and we show that this element has an analog for each power of an odd prime number. At last we give the explicit continued fraction expansion of another classical example.