Theorems · Definition · number theory
DirichletCharacter.completedLFunction
{N : ℕ} → [NeZero N] → DirichletCharacter ℂ N → ℂ → ℂThe completed L-function of a Dirichlet character, almost everywhere equal to
LFunction χ s * gammaFactor χ s.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- DirichletCharacterstatement and proof · cited by 161
- ZMod.completedLFunctionproof · cited by 14
Cited by6
Results whose statement or proof uses this declaration.
- DirichletCharacter.differentiableAt_completedLFunctionstatement · cited by 1
- DirichletCharacter.completedLFunction_modOne_eqstatement · cited by 1
- DirichletCharacter.LFunction_eq_completed_div_gammaFactorstatement and proof · cited by 0
- DirichletCharacter.completedLFunction.congr_simpstatement and proof · cited by 0
- DirichletCharacter.differentiable_completedLFunctionstatement · cited by 0
- DirichletCharacter.IsPrimitive.completedLFunction_one_substatement and proof · cited by 0