Theorems · Theorem · complex analysis
Polynomial.supNorm_le_choose_natDegree_div_two_mul_mahlerMeasure
∀ (p : Polynomial ℂ), p.supNorm ≤ ↑(p.natDegree.choose (p.natDegree / 2)) * p.mahlerMeasure
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- 0 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Polynomialstatement and proof · cited by 5,681
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- Nat.choosestatement · cited by 494
- mul_le_mul_of_nonneg_rightproof · cited by 301
- Polynomial.mahlerMeasurestatement · cited by 45
- Polynomial.supNormstatement and proof · cited by 13
- Nat.choose_le_middleproof · cited by 7
- Polynomial.mahlerMeasure_nonnegproof · cited by 3
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