26 citations · 41 across the 7 of their papers we have counts for
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On quadratic approximation for hyperquadratic continued fractions
Khalil Ayadi, Tomohiro Ooto
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 a…
A note on quadratic approximation for Liouville numbers
Tomohiro Ooto
Schleischitz [arXiv:1701.01129] determined exponents of best approximations to a strong Liouville number by integer polynomials and algebraic numbers of precribed degree. In this n…
The existence of -numbers in positive characteristic
Tomohiro Ooto
As an analogue of Mahler's classification for real numbers, Bundschuh introduced a classification for Laurent series over a finite field, divided into -numbers.It is known…
On Diophantine exponents for Laurent series over a finite field
Tomohiro Ooto
In this paper, we study properties of the Diophantine exponents and for Laurent series over a finite field. We prove that for an integer and a rational nu…
Mahler's classification and a certain class of -adic numbers
Tomohiro Ooto
In this paper, we study a relation between digits of -adic numbers and Mahler's classification. We show that an irrational -adic number whose digits are automatic, primitive…
Quadratic approximation in
Tomohiro Ooto
In this paper, we study Diophantine exponents and for Laurent series over a finite field. Especially, we deal with the case , that is, quadratic approximation…