Erdős problem 507 · problems.science

Let $\alpha(n)$ be such that every set of $n$ points in the unit disk contains three points which determine a triangle of area at most $\alpha(n)$ . Estimate $\alpha(n)$ .

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FormalConjectures/ErdosProblems/

507.lean

Retained formal statement4 of 7

Erdős observed that $\alpha(n) \gg 1/n^2$ .

FormalConjectures/ErdosProblems/507.leanErdos507.erdos_507.variants.lower_erdos1 lineExact file

1(fun n => 1 / ↑n ^ 2) =O[Filter.atTop] Erdos507.α

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