A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
The aim of the present note is to establish two extensions of some transcendence criteria for real numbers given by their continued fraction expansions. We adopt the following point of view: rather than giving sufficient conditions ensuring the transcendence of a given number α, we take a pair (α, α ) of real numbers, and we prove that, under some condition, at least one of them is transcendental. 2000 Mathematics Subject Classification. 11J81, 11J70.doi:10.3336/gm.41.2.05 fatcat:hcolsbkjvra65jsr5dfhnabkye