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Abstract We study quadratic approximations for two families of hyperquadratic continued fractions in the field of Laurent series over a finite field. As the first application, we give the answer… Click to show full abstract
Abstract We study quadratic approximations for two families of hyperquadratic continued fractions in the field of Laurent series over a finite field. As the first application, we give the answer to a question of the second author concerning Diophantine exponents for algebraic Laurent series. As the second application, we determine the degrees of these families in particular case.
Keywords:
quadratic approximation;
continued fractions;
approximation hyperquadratic;
hyperquadratic continued
Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!