Theorems · Theorem · number theory
DirichletCharacter.rootNumber_modOne
∀ (χ : DirichletCharacter ℂ 1), χ.rootNumber = 1
The root number of the unique Dirichlet character modulo 1 is 1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- Finset.sum_congrproof · cited by 2,323
- pow_zeroproof · cited by 1,094
- ZModproof · cited by 1,024
- Complex.Iproof · cited by 866
- map_oneproof · cited by 861
- one_divproof · cited by 624
- Finset.sum_singletonproof · cited by 251
- div_selfproof · cited by 237
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.IsPrimitive.completedLFunction_one_subproof · cited by 0