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Erdős problem 259

Is ∑nμ(n)2n2n\sum_{n} \mu(n)^2\frac{n}{2^n} irrational?

No current result

No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/259.lean

Formal Conjectures

FormalConjectures/ErdosProblems/259.leanErdos259.erdos_2591 lineExact file
Irrational (∑' (n : ℕ), ↑(ArithmeticFunction.moebius n) ^ 2 * ↑n / 2 ^ n)
SolvedProof has a holelean4external proof

The proof uses `sorry`: part of the argument is written but not proved. Lean accepts the file; it does not accept the theorem.

Proof manifests naming this Problem

  • Jayyhk Erdős Leanjayyhk:erdos:259
  • PLBY Lean proofsErdosProblems.Erdos259

Reported activity

Work these sources record against this Problem. Source-reported attribution, not reviewed here.

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