2010-16 Number of divisors in 1 (mod 3) or 2 (mod 3)

Let n be a positive integer. Let D(n,k) be the number of divisors x of n such that x≡k (mod 3). Prove that D(n,1)≥D(n,2).

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2010-16 Number of divisors in 1 (mod 3) or 2 (mod 3), 4.0 out of 5 based on 5 ratings