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beautiful functional on Tst

Source: Iranian TST 2021, second exam day 1, problem 2

May 20, 2021
functionnumber theory

Problem Statement

Find all functions f:N→Nf : \mathbb{N} \rightarrow \mathbb{N} such that for any two positive integers m,nm,n we have : f(n)+1400m2∣n2+f(f(m))f(n)+1400m^2|n^2+f(f(m))
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