Theorems · Theorem · number theory
Polynomial.cyclotomic_eval_le_add_one_pow_totient
∀ {q : ℝ}, 1 < q → ∀ (n : ℕ), Polynomial.eval q (Polynomial.cyclotomic n ℝ) ≤ (q + 1) ^ n.totient- Cited by
- 0 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- LT.lt.leproof · cited by 2,189
- Polynomial.Xproof · cited by 1,639
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- Polynomial.evalstatement and proof · cited by 796
- add_assocproof · cited by 746
- Polynomial.eval_Xproof · cited by 172
- Polynomial.cyclotomicstatement and proof · cited by 130
- Polynomial.eval_subproof · cited by 124
- Nat.totientstatement and proof · cited by 111
- Polynomial.eval_oneproof · cited by 86
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