R******e
发帖数: 623 | 1 $f(x)$ is a transcendental function over $mathbb{Q}(x)$,and analytic in disk
with natural boundary. If $a \gt 0$ and $a \in mathbb{Q}$, then $f(a)$ is a
transcendental number.
Has this assertion been proved? Any reference? | R******e
发帖数: 623 | 2 才发现有几个符号弄错了。
disk
【在 R******e 的大作中提到】
: $f(x)$ is a transcendental function over $mathbb{Q}(x)$,and analytic in disk
: with natural boundary. If $a \gt 0$ and $a \in mathbb{Q}$, then $f(a)$ is a
: transcendental number.
: Has this assertion been proved? Any reference?
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