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Omni-MATH / Denote by N the set of all positive integers. Find all functions f:N→N such that for all positive integers m and n, the integer f(m)+f(n)−mn is nonzero and divides mf(m)+nf(n). [i] · Discussion

Discussing Denote by N the set of all positive integers. Find all functions f:N→N such that for all positive integers m and n, the integer f(m)+f(n)−mn is nonzero and divides mf(m)+nf(n). [i] · Omni-MATH

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