Quadratic approximation in $\mathbb{F}_q ((T^{-1}))$

Content Provider	Semantic Scholar
Author	Ooto, Tomohiro
Copyright Year	2015
Abstract	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.
Starting Page	129
Ending Page	156
Page Count	28
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://arxiv.org/pdf/1512.04041v3.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article