Erdős problem 1049Let t>1t>1 be a rational number. Is ∑n=1∞1tn−1=∑n=1∞τ(n)tn\sum_{n=1}^\infty\frac{1}{t^n-1}=\sum_{n=1}^\infty \frac{\tau(n)}{t^n} irrational, where τ(n)\tau(n) counts the divisors of nn?WorkspaceContinue locallyOpen sourceSign in to contributeOpen this exact Problem, source revision, and authority Repository in Workbench. This handoff does not clone, switch, upload, or execute anything.FilesErdős problem 10494 retained source recordsCanvaspublic previewSource#1049→ResultNone→Checks0