论文标题
研究概括的持续分数的超越性
Study of the transcendence of a family of generalized continued fractions
论文作者
论文摘要
我们研究了一个概括的持续分数，该家族由有限字母中的一对替代序列定义。我们证明，在Adamczewski和Bugeaud的意义上，它们是结实的序列。我们还证明，这个家庭由不是Liouvillian的先验数字组成。我们探讨了他们常规持续分数扩展的部分商，关于它们的界限没有得出结论。
We study a family of generalized continued fractions, which are defined by a pair of substitution sequences in a finite alphabet. We prove that they are stammering sequences, in the sense of Adamczewski and Bugeaud. We also prove that this family consists of transcendental numbers which are not Liouvillian. We explore the partial quotients of their regular continued fraction expansions, arriving at no conclusion concerning their boundedness.
