Theorems · Theorem · number theory
DirichletCharacter.LSeries_eulerProduct_hasProd
∀ {s : ℂ} {N : ℕ} (χ : DirichletCharacter ℂ N),
1 < s.re → HasProd (fun p => (1 - χ ↑↑p * ↑↑p ^ (-s))⁻¹) (LSeries (fun n => χ ↑n) s)The Euler product for Dirichlet L-series, valid for s.re > 1.
This version is stated in terms of HasProd.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- DirichletCharacter.LSeries_eulerProduct_tprodproof · cited by 1
- DirichletCharacter.LSeries_changeLevelproof · cited by 0