On quadratic approximation for hyperquadratic continued fractions
Number Theory
2020-03-23 v2
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.
Cite
@article{arxiv.1907.08016,
title = {On quadratic approximation for hyperquadratic continued fractions},
author = {Khalil Ayadi and Tomohiro Ooto},
journal= {arXiv preprint arXiv:1907.08016},
year = {2020}
}
Comments
11 pages