Theorems · Theorem · number theory
Polynomial.cyclotomic_dvd_geom_sum_of_dvd
∀ (R : Type u_1) [inst : Ring R] {d n : ℕ},
d ∣ n → d ≠ 1 → Polynomial.cyclotomic d R ∣ ∑ i ∈ Finset.range n, Polynomial.X ^ i- Cited by
- 0 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- Polynomial.Xstatement and proof · cited by 1,639
- LT.lt.ne'proof · cited by 1,417
- Finset.rangestatement and proof · cited by 1,341
- Int.castRingHomproof · cited by 254
- Polynomial.cyclotomicstatement and proof · cited by 130
- Polynomial.map_Xproof · cited by 122
- Polynomial.map_powproof · cited by 59
- Finset.dvd_prod_of_memproof · cited by 23
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