Study of the transcendence of a family of generalized continued fractions

Autor:	Carvalho, Túlio O.
Rok vydání:	2020
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.06350 Zobrazit plný text záznamu View this record from Arxiv