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MathNet 2007-part-03 — 185 problems (EN–VI) Question 152

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

Question 152

Determine with proof, a simple closed form expression for
$$
\sum_{d \mid n} \phi(d) \tau\left(\frac{n}{d}\right)
$$