Dong Han Kim

collaborators

2 papers

math.NT2026

On the $b$ -ary expansion of a real number whose irrationality exponent is close to 2

Yann Bugeaud, Dong Han Kim

Let $b \geq 2$ be an integer and $I^¾$ an irrational real number. We establishes that, if the irrationality exponent of $I^¾$ is less than $2.324 \dots$ , then the $b$ -ary expansion o…

math.NT2026

On the irrationality exponent of real numbers with low complexity expansion

Yann Bugeaud, Hajime Kaneko, Dong Han Kim

Let $I^¾$ be a real number and $b \geq 2$ an integer. We study the relationship between the irrationality exponent of $I^¾$ and the subword complexity $p (n, x)$ of the $b$ -ar…

On the b-ary expansion of a real number whose irrationality exponent is close to 2

On the irrationality exponent of real numbers with low complexity expansion

On the $b$ -ary expansion of a real number whose irrationality exponent is close to 2