Theorems · Definition · complex analysis
Polynomial.mahlerMeasure
Polynomial ℂ → ℝ
The Mahler measure of a polynomial p defined as e ^ (logMahlerMeasure p) if p is nonzero
and 0 otherwise
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 253 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Real.expproof · cited by 871
- Polynomial.logMahlerMeasureproof · cited by 21
Cited by46
Results whose statement or proof uses this declaration.
- Polynomial.mapMahlerMeasureproof · cited by 11
- Polynomial.mahlerMeasure_zerostatement · cited by 10
- Polynomial.mahlerMeasure_mulstatement and proof · cited by 5
- Polynomial.leadingCoeff_le_mahlerMeasurestatement and proof · cited by 5
- Polynomial.logMahlerMeasure_eq_log_MahlerMeasurestatement · cited by 4
- Polynomial.mahlerMeasure_eq_leadingCoeff_mul_prod_rootsstatement and proof · cited by 4
- Polynomial.mahlerMeasure_nonnegstatement and proof · cited by 3
- Polynomial.mahlerMeasure_onestatement · cited by 3
- Polynomial.mahlerMeasure_pos_of_ne_zerostatement · cited by 3
- Polynomial.norm_coeff_le_choose_mul_mahlerMeasurestatement and proof · cited by 3
- Polynomial.mahlerMeasure_conststatement · cited by 3
- Polynomial.mahlerMeasure_def_of_ne_zerostatement · cited by 3