Theorems · Theorem · number theory
DirichletCharacter.absicssaOfAbsConv_eq_one
∀ {N : ℕ}, N ≠ 0 → ∀ (χ : DirichletCharacter ℂ N), (LSeries.abscissaOfAbsConv fun n => χ ↑n) = 1The abscissa of absolute convergence of the L-series of a Dirichlet character mod N > 0
is 1.
- Defined in
- Mathlib.NumberTheory.LSeries.Dirichlet
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- DirichletCharacterstatement and proof · cited by 161
- LSeries.abscissaOfAbsConvstatement · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- LSeries.abscissaOfAbsConv_oneproof · cited by 3
- DirichletCharacter.LSeries_twist_vonMangoldt_eqproof · cited by 2