Theorems · Theorem · number theory
DirichletCharacter.conductor_zpow_dvd
∀ {R : Type u_1} [inst : CommMonoidWithZero R] {n : ℕ} (χ : DirichletCharacter R n) (m : ℤ),
(χ ^ m).conductor ∣ χ.conductor- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement · cited by 1,024
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- eq_zero_or_neZeroproof · cited by 36
- DirichletCharacter.changeLevelproof · cited by 29
- DirichletCharacter.conductorstatement · cited by 29
- DirichletCharacter.conductor_dvd_levelproof · cited by 12
- DirichletCharacter.primitiveCharacterproof · cited by 11
- MonoidHom.map_zpowproof · cited by 10
- DirichletCharacter.changeLevel_primitiveCharacterproof · cited by 7
- DirichletCharacter.mem_conductorSet_iffproof · cited by 5
- DirichletCharacter.conductor_eq_zero_iff_level_eq_zeroproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- DirichletCharacter.conductor_pow_dvdproof · cited by 0
- DirichletCharacter.conductor_invproof · cited by 0