Irrationality exponents of numbers related with Cahen’s constant

Autor:	Iekata Shiokawa, Daniel Duverney
Rok vydání:	2019
Předmět:	Pure mathematics Transcendence (philosophy) 010505 oceanography General Mathematics 010102 general mathematics Exponent Irrationality Cahen's constant 0101 mathematics Constant (mathematics) 01 natural sciences 0105 earth and related environmental sciences Mathematics
Zdroj:	Monatshefte für Mathematik. 191:53-76
ISSN:	1436-5081 0026-9255
DOI:	10.1007/s00605-019-01335-0
Popis:	We give lower and upper bounds of the irrationality exponent of general continued fractions satisfying certain conditions. Using it we estimate the irrationality exponents of continued fractions representing numbers related with Cahen’s constant and deduce their transcendence from Roth’s theorem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8c6f17ae63d3b7d55340991b65341d99 https://doi.org/10.1007/s00605-019-01335-0 Zobrazit plný text záznamu Full text from SpringerLink