Erdős problem 443 · problems.science

Let $m,n\geq 1$ . What is $\# \{ k(m-k) : 1\leq k\leq m/2\} \cap \{ l(n-l) : 1\leq l\leq n/2\}?$ Is it $\leq (mn)^{o(1)}$ for all sufficiently large $m,n$ ?

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