Theorems · Definition · number theory
DirichletCharacter.IsPrimitive
{R : Type u_1} → [inst : CommMonoidWithZero R] → {n : ℕ} → DirichletCharacter R n → PropA character is primitive if its level is equal to its conductor.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 67 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- DirichletCharacterstatement and proof · cited by 161
- DirichletCharacter.conductorproof · cited by 29
Cited by9
Results whose statement or proof uses this declaration.
- DirichletCharacter.isPrimitive_defstatement · cited by 3
- DirichletCharacter.primitiveCharacter_isPrimitivestatement · cited by 2
- gaussSum_eq_zero_of_isPrimitive_of_not_isPrimitivestatement and proof · cited by 1
- gaussSum_mulShift_of_isPrimitivestatement and proof · cited by 1
- DirichletCharacter.IsPrimitive.fourierTransform_eq_inv_mul_gaussSumstatement and proof · cited by 1
- DirichletCharacter.isPrimitive_one_level_onestatement · cited by 1
- DirichletCharacter.primitive_mul_isPrimitivestatement · cited by 0
- DirichletCharacter.IsPrimitive.completedLFunction_one_substatement and proof · cited by 0
- DirichletCharacter.isPrimitive_one_level_zerostatement · cited by 0