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Erdős problem 1038

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Among all nonconstant monic polynomials ff whose roots lie in [−1,1][-1, 1], determine inf⁡f∣{x∈R:∣f(x)∣<1}∣\inf_f |\{x \in \mathbb{R} : |f(x)| < 1\}|.

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5 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

1038.lean

Retained formal statement1 of 4

What is the infimum of |{x ∈ ℝ : |f x| < 1}| over all nonconstant monic polynomials f such that all of its roots are real and contained in [-1,1]?

FormalConjectures/ErdosProblems/1038.leanErdos1038.erdos_1038.parts.i1 lineExact file
∀ (n : ℕ), sorry = ⨅ f, MeasureTheory.volume {x | |Polynomial.eval x ↑f| < 1}
OpenStatement only, no proof