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erdos_257.variants.tsum_top

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Show that $$ \sum_{n} \frac{d(n)}{2^n} $$ is irrational. [Er48] Erdős, P., _On arithmetical properties of Lambert series_. J. Indian Math. Soc. (N.S.) (1948), 63-66.

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Lean 4 Statement 
theorem erdos_257.variants.tsum_top :
    Irrational <| ∑' n, n.divisors.card / (2 ^ n : ℝ)
ID: ErdosProblems__257__erdos_257.variants.tsum_top
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