QUADRATIC APPROXIMATION IN Fq((T^−1))
Tomohiro Ooto · Institutional Repositories DataBase (IRDB) · 2017
In this paper, we study Diophantine exponents w n and w * n for Laurent series over a finite field.Especially, we deal with the case n = 2, that is, quadratic approximation.We first show that the range of the function w 2 -w * 2 is exactly the closed interval [0, 1].Next, we estimate an upper bound of the exponent w 2 of continued fractions with low complexity partial quotients.