Irrationality of rapidly converging series: a problem of Erdős and Graham

Kevin Barreto, Jiwon Kang, Sang-hyun Kim +2

Answering a question of Erdős and Graham, we show that the double exponential growth condition ${\mathrm{limsup}}_{n\to \infty }{a}_n^{1/{\varphi }^n}=\infty$ for a strictly increasing sequence of positi…