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MathNet 2007-part-03 — 185 problems (EN–VI) Question 149

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 149

Prove the identity
$$
\sum_{d \mid n} \tau(d)^{3}=\left(\sum_{d \mid n} \tau(d)\right)^{2}
$$