Theorems · Theorem · number theory
Polynomial.cyclotomic_eval_lt_add_one_pow_totient
∀ {n : ℕ} {q : ℝ}, 3 ≤ n → 1 < q → Polynomial.eval q (Polynomial.cyclotomic n ℝ) < (q + 1) ^ n.totient- Cited by
- 1 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites93
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexproof · cited by 5,565
- Norm.normproof · cited by 5,413
- NNRealproof · cited by 4,310
- Unitsproof · cited by 2,804
- Nat.cast_oneproof · cited by 2,501
- Finset.prodproof · cited by 2,356
- LT.lt.leproof · cited by 2,189
- Nat.cast_zeroproof · cited by 1,870
- Real.piproof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic_eval_le_add_one_pow_totientproof · cited by 0