Hausdorff dimensions of bounded-type continued fraction sets of Laurent series
Continued fraction expansion and Diophantine approximation in fields of formal Laurent series have been studied by many researchers. \textit{S. Kristensen} [Math. Proc. Camb. Philos. Soc. 135, No. 2, 255--268 (2003; Zbl 1088.11056)] has studied Hausdorff dimension and Khinchin-type theorems in the field of Laurent series. In this paper the author studies the Hausdorff dimensions of bounded-type continued fraction sets of Laurent series and show that the Texan conjecture is valid in the case of Laurent series.
scientific article; zbMATH DE number 5126000