Theorems · Theorem · number theory
tsum_dirichletSummand
∀ {s : ℂ} {N : ℕ} (χ : DirichletCharacter ℂ N) (hs : 1 < s.re),
∑' (n : ℕ), (dirichletSummandHom χ ⋯) n = LSeries (fun n => χ ↑n) s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- ZModstatement · cited by 1,024
- Complex.restatement and proof · cited by 882
- div_eq_mul_invproof · cited by 715
- MonoidWithZeroHomstatement · cited by 704
- DirichletCharacterstatement and proof · cited by 161
- LSeriesstatement · cited by 77
- ZeroHom.mk.congr_simpproof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- DirichletCharacter.LSeries_eulerProduct_hasProdproof · cited by 2
- DirichletCharacter.LSeries_eulerProductproof · cited by 0